Discrete Groups in Space and Uniformization Problems

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Publisher : Springer Science & Business Media
ISBN 13 : 9780792302162
Total Pages : 522 pages
Book Rating : 4.3/5 (21 download)

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Book Synopsis Discrete Groups in Space and Uniformization Problems by : B. Apanasov

Download or read book Discrete Groups in Space and Uniformization Problems written by B. Apanasov and published by Springer Science & Business Media. This book was released on 1991-06-30 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: A revised and substantially enlarged edition of the Russian book Discrete transformation groups and manifold structures published by Nauka in 1983, this volume presents a comprehensive treatment of the geometric theory of discrete groups and the associated tessellations of the underlying space. Also dealt with in depth are geometric and conformal structures on manifolds, with particular emphasis on hyperbolic n-dimensional manifolds. A detailed account of the geometric and analytic properties of geometrically-finite Mobius groups in n-dimensional space is given and this forms the basis of the subsequent analysis. Emphasis is placed on the geometrical aspects and on the universal constraints which must be satisfied by all tessellations and structures on manifolds. Annotation copyrighted by Book News, Inc., Portland, OR

Conformal Geometry of Discrete Groups and Manifolds

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Publisher : Walter de Gruyter
ISBN 13 : 3110808056
Total Pages : 541 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Conformal Geometry of Discrete Groups and Manifolds by : Boris N. Apanasov

Download or read book Conformal Geometry of Discrete Groups and Manifolds written by Boris N. Apanasov and published by Walter de Gruyter. This book was released on 2011-06-24 with total page 541 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of the Expositions is to present new and important developments in pure and applied mathematics. Well established in the community over more than two decades, the series offers a large library of mathematical works, including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers interested in a thorough study of the subject. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany Katrin Wendland, University of Freiburg, Germany Honorary Editor Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Titles in planning include Yuri A. Bahturin, Identical Relations in Lie Algebras (2019) Yakov G. Berkovich, Lev G. Kazarin, and Emmanuel M. Zhmud', Characters of Finite Groups, Volume 2 (2019) Jorge Herbert Soares de Lira, Variational Problems for Hypersurfaces in Riemannian Manifolds (2019) Volker Mayer, Mariusz Urbański, and Anna Zdunik, Random and Conformal Dynamical Systems (2021) Ioannis Diamantis, Boštjan Gabrovšek, Sofia Lambropoulou, and Maciej Mroczkowski, Knot Theory of Lens Spaces (2021)

New Developments in Differential Geometry

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Publisher : Springer Science & Business Media
ISBN 13 : 9400901496
Total Pages : 427 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis New Developments in Differential Geometry by : L. Tamássy

Download or read book New Developments in Differential Geometry written by L. Tamássy and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 427 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the Colloquium on Differential Geometry, Debrecen, Hungary, July 26-30, 1994

Complexes of Differential Operators

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Publisher : Springer Science & Business Media
ISBN 13 : 9401103275
Total Pages : 407 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Complexes of Differential Operators by : Nikolai Tarkhanov

Download or read book Complexes of Differential Operators written by Nikolai Tarkhanov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 407 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a systematic account of the facts concerning complexes of differential operators on differentiable manifolds. The central place is occupied by the study of general complexes of differential operators between sections of vector bundles. Although the global situation often contains nothing new as compared with the local one (that is, complexes of partial differential operators on an open subset of ]Rn), the invariant language allows one to simplify the notation and to distinguish better the algebraic nature of some questions. In the last 2 decades within the general theory of complexes of differential operators, the following directions were delineated: 1) the formal theory; 2) the existence theory; 3) the problem of global solvability; 4) overdetermined boundary problems; 5) the generalized Lefschetz theory of fixed points, and 6) the qualitative theory of solutions of overdetermined systems. All of these problems are reflected in this book to some degree. It is superfluous to say that different directions sometimes whimsically intersect. Considerable attention is given to connections and parallels with the theory of functions of several complex variables. One of the reproaches avowed beforehand by the author consists of the shortage of examples. The framework of the book has not permitted their number to be increased significantly. Certain parts of the book consist of results obtained by the author in 1977-1986. They have been presented in seminars in Krasnoyarsk, Moscow, Ekaterinburg, and N ovosi birsk.

Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 9401720894
Total Pages : 311 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications by : Krishan L. Duggal

Download or read book Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications written by Krishan L. Duggal and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about the light like (degenerate) geometry of submanifolds needed to fill a gap in the general theory of submanifolds. The growing importance of light like hypersurfaces in mathematical physics, in particular their extensive use in relativity, and very limited information available on the general theory of lightlike submanifolds, motivated the present authors, in 1990, to do collaborative research on the subject matter of this book. Based on a series of author's papers (Bejancu [3], Bejancu-Duggal [1,3], Dug gal [13], Duggal-Bejancu [1,2,3]) and several other researchers, this volume was conceived and developed during the Fall '91 and Fall '94 visits of Bejancu to the University of Windsor, Canada. The primary difference between the lightlike submanifold and that of its non degenerate counterpart arises due to the fact that in the first case, the normal vector bundle intersects with the tangent bundle of the submanifold. Thus, one fails to use, in the usual way, the theory of non-degenerate submanifolds (cf. Chen [1]) to define the induced geometric objects (such as linear connection, second fundamental form, Gauss and Weingarten equations) on the light like submanifold. Some work is known on null hypersurfaces and degenerate submanifolds (see an up-to-date list of references on pages 138 and 140 respectively). Our approach, in this book, has the following outstanding features: (a) It is the first-ever attempt of an up-to-date information on null curves, lightlike hypersur faces and submanifolds, consistent with the theory of non-degenerate submanifolds.

Vector Bundles and Their Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 1475769237
Total Pages : 259 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Vector Bundles and Their Applications by : Glenys Luke

Download or read book Vector Bundles and Their Applications written by Glenys Luke and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is devoted to the basic notions of vector bundles and their applications. The focus of attention is towards explaining the most important notions and geometric constructions connected with the theory of vector bundles. Theorems are not always formulated in maximal generality but rather in such a way that the geometric nature of the objects comes to the fore. Whenever possible examples are given to illustrate the role of vector bundles. Audience: With numerous illustrations and applications to various problems in mathematics and the sciences, the book will be of interest to a range of graduate students from pure and applied mathematics.

Hamiltonian Mechanical Systems and Geometric Quantization

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Publisher : Springer Science & Business Media
ISBN 13 : 9401119929
Total Pages : 289 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Hamiltonian Mechanical Systems and Geometric Quantization by : Mircea Puta

Download or read book Hamiltonian Mechanical Systems and Geometric Quantization written by Mircea Puta and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents various aspects of the geometry of symplectic and Poisson manifolds, and applications in Hamiltonian mechanics and geometric quantization are indicated. Chapter 1 presents some general facts about symplectic vector space, symplectic manifolds and symplectic reduction. Chapter 2 deals with the study of Hamiltonian mechanics. Chapter 3 considers some standard facts concerning Lie groups and algebras which lead to the theory of momentum mappings and the Marsden--Weinstein reduction. Chapters 4 and 5 consider the theory and the stability of equilibrium solutions of Hamilton--Poisson mechanical systems. Chapters 6 and 7 are devoted to the theory of geometric quantization. This leads, in Chapter 8, to topics such as foliated cohomology, the theory of the Dolbeault--Kostant complex, and their applications. A discussion of the relation between geometric quantization and the Marsden--Weinstein reduction is presented in Chapter 9. The final chapter considers extending the theory of geometric quantization to Poisson manifolds, via the theory of symplectic groupoids. Each chapter concludes with problems and solutions, many of which present significant applications and, in some cases, major theorems. For graduate students and researchers whose interests and work involve symplectic geometry and Hamiltonian mechanics.

From Geometry to Quantum Mechanics

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Publisher : Springer Science & Business Media
ISBN 13 : 0817645306
Total Pages : 326 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis From Geometry to Quantum Mechanics by : Yoshiaki Maeda

Download or read book From Geometry to Quantum Mechanics written by Yoshiaki Maeda and published by Springer Science & Business Media. This book was released on 2007-04-22 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt: * Invited articles in differential geometry and mathematical physics in honor of Hideki Omori * Focus on recent trends and future directions in symplectic and Poisson geometry, global analysis, Lie group theory, quantizations and noncommutative geometry, as well as applications of PDEs and variational methods to geometry * Will appeal to graduate students in mathematics and quantum mechanics; also a reference

A User's Guide to Algebraic Topology

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Publisher : Springer Science & Business Media
ISBN 13 : 9780792342939
Total Pages : 428 pages
Book Rating : 4.3/5 (429 download)

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Book Synopsis A User's Guide to Algebraic Topology by : C. T. J. Dodson

Download or read book A User's Guide to Algebraic Topology written by C. T. J. Dodson and published by Springer Science & Business Media. This book was released on 1997-01-31 with total page 428 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book arose from courses taught by the authors, and is designed for both instructional and reference use during and after a first course in algebraic topology. It is a handbook for users who want to calculate, but whose main interests are in applications using the current literature, rather than in developing the theory. Typical areas of applications are differential geometry and theoretical physics. We start gently, with numerous pictures to illustrate the fundamental ideas and constructions in homotopy theory that are needed in later chapters. We show how to calculate homotopy groups, homology groups and cohomology rings of most of the major theories, exact homotopy sequences of fibrations, some important spectral sequences, and all the obstructions that we can compute from these. Our approach is to mix illustrative examples with those proofs that actually develop transferable calculational aids. We give extensive appendices with notes on background material, extensive tables of data, and a thorough index. Audience: Graduate students and professionals in mathematics and physics.

Dynamics of Discrete Group Action

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Publisher : Walter de Gruyter GmbH & Co KG
ISBN 13 : 3110784106
Total Pages : 534 pages
Book Rating : 4.1/5 (17 download)

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Book Synopsis Dynamics of Discrete Group Action by : Boris N. Apanasov

Download or read book Dynamics of Discrete Group Action written by Boris N. Apanasov and published by Walter de Gruyter GmbH & Co KG. This book was released on 2024-07-22 with total page 534 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides the first systematic study of geometry and topology of locally symmetric rank one manifolds and dynamics of discrete action of their fundamental groups. In addition to geometry and topology, this study involves several other areas of Mathematics – from algebra of varieties of groups representations and geometric group theory, to geometric analysis including classical questions from function theory.

Topics in Knot Theory

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Publisher : Springer Science & Business Media
ISBN 13 : 9401116954
Total Pages : 355 pages
Book Rating : 4.4/5 (11 download)

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Book Synopsis Topics in Knot Theory by : M.E. Bozhüyük

Download or read book Topics in Knot Theory written by M.E. Bozhüyük and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 355 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topics in Knot Theory is a state of the art volume which presents surveys of the field by the most famous knot theorists in the world. It also includes the most recent research work by graduate and postgraduate students. The new ideas presented cover racks, imitations, welded braids, wild braids, surgery, computer calculations and plottings, presentations of knot groups and representations of knot and link groups in permutation groups, the complex plane and/or groups of motions. For mathematicians, graduate students and scientists interested in knot theory.

Kleinian Groups and Uniformization in Examples and Problems

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821898123
Total Pages : 214 pages
Book Rating : 4.8/5 (981 download)

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Book Synopsis Kleinian Groups and Uniformization in Examples and Problems by : Samuil Le_bovich Krushkal_

Download or read book Kleinian Groups and Uniformization in Examples and Problems written by Samuil Le_bovich Krushkal_ and published by American Mathematical Soc.. This book was released on 1986-12-31 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: Aimed at researchers, graduate students and undergraduates alike, this book presents a unified exposition of all the main areas and methods of the theory of Kleinian groups and the theory of uniformization of manifolds. The past 20 years have seen a rejuvenation of the field, due to the development of powerful new methods in topology, the theory of functions of several complex variables, and the theory of quasiconformal mappings. Thus this new book should provide a valuable resource, listing the basic facts regarding Kleinian groups and serving as a general guide to the primary literature, particularly the Russian literature in the field. In addition, the book includes a large number of examples, problems, and unsolved problems, many of them presented for the first time.

Foundations of Hyperbolic Manifolds

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Publisher : Springer Science & Business Media
ISBN 13 : 1475740131
Total Pages : 761 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Foundations of Hyperbolic Manifolds by : John Ratcliffe

Download or read book Foundations of Hyperbolic Manifolds written by John Ratcliffe and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 761 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an exposition of the theoretical foundations of hyperbolic manifolds. It is intended to be used both as a textbook and as a reference. Particular emphasis has been placed on readability and completeness of ar gument. The treatment of the material is for the most part elementary and self-contained. The reader is assumed to have a basic knowledge of algebra and topology at the first-year graduate level of an American university. The book is divided into three parts. The first part, consisting of Chap ters 1-7, is concerned with hyperbolic geometry and basic properties of discrete groups of isometries of hyperbolic space. The main results are the existence theorem for discrete reflection groups, the Bieberbach theorems, and Selberg's lemma. The second part, consisting of Chapters 8-12, is de voted to the theory of hyperbolic manifolds. The main results are Mostow's rigidity theorem and the determination of the structure of geometrically finite hyperbolic manifolds. The third part, consisting of Chapter 13, in tegrates the first two parts in a development of the theory of hyperbolic orbifolds. The main results are the construction of the universal orbifold covering space and Poincare's fundamental polyhedron theorem.

Topological Fixed Point Theory of Multivalued Mappings

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Publisher : Springer Science & Business Media
ISBN 13 : 9401591954
Total Pages : 409 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Topological Fixed Point Theory of Multivalued Mappings by : Lech Górniewicz

Download or read book Topological Fixed Point Theory of Multivalued Mappings written by Lech Górniewicz and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 409 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an attempt to give a systematic presentation of results and meth ods which concern the fixed point theory of multivalued mappings and some of its applications. In selecting the material we have restricted ourselves to study ing topological methods in the fixed point theory of multivalued mappings and applications, mainly to differential inclusions. Thus in Chapter III the approximation (on the graph) method in fixed point theory of multi valued mappings is presented. Chapter IV is devoted to the homo logical methods and contains more general results, e. g. , the Lefschetz Fixed Point Theorem, the fixed point index and the topological degree theory. In Chapter V applications to some special problems in fixed point theory are formulated. Then in the last chapter a direct application's to differential inclusions are presented. Note that Chapter I and Chapter II have an auxiliary character, and only results con nected with the Banach Contraction Principle (see Chapter II) are strictly related to topological methods in the fixed point theory. In the last section of our book (see Section 75) we give a bibliographical guide and also signal some further results which are not contained in our monograph. The author thanks several colleagues and my wife Maria who read and com mented on the manuscript. These include J. Andres, A. Buraczewski, G. Gabor, A. Gorka, M. Gorniewicz, S. Park and A. Wieczorek. The author wish to express his gratitude to P. Konstanty for preparing the electronic version of this monograph.

Riemannian Metrics of Constant Mass and Moduli Spaces of Conformal Structures

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Publisher : Springer
ISBN 13 : 3540444432
Total Pages : 123 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Riemannian Metrics of Constant Mass and Moduli Spaces of Conformal Structures by : Lutz Habermann

Download or read book Riemannian Metrics of Constant Mass and Moduli Spaces of Conformal Structures written by Lutz Habermann and published by Springer. This book was released on 2007-05-06 with total page 123 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph deals with recent questions of conformal geometry. It provides in detail an approach to studying moduli spaces of conformal structures, using a new canonical metric for conformal structures. This book is accessible to readers with basic knowledge in differential geometry and global analysis. It addresses graduates and researchers.

Topology '90

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Publisher : Walter de Gruyter
ISBN 13 : 3110857723
Total Pages : 473 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis Topology '90 by : Boris N. Apanasov

Download or read book Topology '90 written by Boris N. Apanasov and published by Walter de Gruyter. This book was released on 2011-10-13 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: This series is devoted to the publication of monographs, lecture resp. seminar notes, and other materials arising from programs of the OSU Mathemaical Research Institute. This includes proceedings of conferences or workshops held at the Institute, and other mathematical writings.

Analele Universității Din Timișoara

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Publisher :
ISBN 13 :
Total Pages : 354 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Analele Universității Din Timișoara by :

Download or read book Analele Universității Din Timișoara written by and published by . This book was released on 1992 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: