Conformal, Riemannian and Lagrangian Geometry

Download Conformal, Riemannian and Lagrangian Geometry PDF Online Free

Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821832107
Total Pages : 97 pages
Book Rating : 4.8/5 (218 download)

DOWNLOAD NOW!


Book Synopsis Conformal, Riemannian and Lagrangian Geometry by : Sun-Yung A. Chang

Download or read book Conformal, Riemannian and Lagrangian Geometry written by Sun-Yung A. Chang and published by American Mathematical Soc.. This book was released on 2002 with total page 97 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent developments in topology and analysis have led to the creation of new lines of investigation in differential geometry. The 2000 Barrett Lectures present the background, context and main techniques of three such lines by means of surveys by leading researchers. The first chapter (by Alice Chang and Paul Yang) introduces new classes of conformal geometric invariants, and then applies powerful techniques in nonlinear differential equations to derive results on compactificationsof manifolds and on Yamabe-type variational problems for these invariants. This is followed by Karsten Grove's lectures, which focus on the use of isometric group actions and metric geometry techniques to understand new examples and classification results in Riemannian geometry, especially inconnection with positive curvature. The chapter written by Jon Wolfson introduces the emerging field of Lagrangian variational problems, which blends in novel ways the structures of symplectic geometry and the techniques of the modern calculus of variations. The lectures provide an up-do-date overview and an introduction to the research literature in each of their areas. The book is a very enjoyable read, which should prove useful to graduate students and researchers in differential geometryand geometric analysis.

Semi-Riemannian Geometry With Applications to Relativity

Download Semi-Riemannian Geometry With Applications to Relativity PDF Online Free

Author :
Publisher : Academic Press
ISBN 13 : 0080570577
Total Pages : 483 pages
Book Rating : 4.0/5 (85 download)

DOWNLOAD NOW!


Book Synopsis Semi-Riemannian Geometry With Applications to Relativity by : Barrett O'Neill

Download or read book Semi-Riemannian Geometry With Applications to Relativity written by Barrett O'Neill and published by Academic Press. This book was released on 1983-07-29 with total page 483 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an exposition of semi-Riemannian geometry (also called pseudo-Riemannian geometry)--the study of a smooth manifold furnished with a metric tensor of arbitrary signature. The principal special cases are Riemannian geometry, where the metric is positive definite, and Lorentz geometry. For many years these two geometries have developed almost independently: Riemannian geometry reformulated in coordinate-free fashion and directed toward global problems, Lorentz geometry in classical tensor notation devoted to general relativity. More recently, this divergence has been reversed as physicists, turning increasingly toward invariant methods, have produced results of compelling mathematical interest.

The Theory of Lie Derivatives and Its Applications

Download The Theory of Lie Derivatives and Its Applications PDF Online Free

Author :
Publisher : Courier Dover Publications
ISBN 13 : 0486842096
Total Pages : 320 pages
Book Rating : 4.4/5 (868 download)

DOWNLOAD NOW!


Book Synopsis The Theory of Lie Derivatives and Its Applications by : Kentaro Yano

Download or read book The Theory of Lie Derivatives and Its Applications written by Kentaro Yano and published by Courier Dover Publications. This book was released on 2020-05-21 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential geometry has become one of the most active areas of math publishing, yet a small list of older, unofficial classics continues to interest the contemporary generation of mathematicians and students. This advanced treatment of topics in differential geometry, first published in 1957, was praised as "well written" by The American Mathematical Monthly and hailed as "undoubtedly a valuable addition to the literature." Its topics include: • Spaces with a non-vanishing curvature tensor that admit a group of automorphisms of the maximum order • Groups of transformations in generalized spaces • The study of global properties of the groups of motions in a compact orientable Riemannian space • Lie derivatives in an almost complex space For advanced undergraduates and graduate students in mathematics

Riemannian Topology and Geometric Structures on Manifolds

Download Riemannian Topology and Geometric Structures on Manifolds PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 0817647430
Total Pages : 303 pages
Book Rating : 4.8/5 (176 download)

DOWNLOAD NOW!


Book Synopsis Riemannian Topology and Geometric Structures on Manifolds by : Krzysztof Galicki

Download or read book Riemannian Topology and Geometric Structures on Manifolds written by Krzysztof Galicki and published by Springer Science & Business Media. This book was released on 2010-07-25 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: Riemannian Topology and Structures on Manifolds results from a similarly entitled conference held on the occasion of Charles P. Boyer’s 65th birthday. The various contributions to this volume discuss recent advances in the areas of positive sectional curvature, Kähler and Sasakian geometry, and their interrelation to mathematical physics, especially M and superstring theory. Focusing on these fundamental ideas, this collection presents review articles, original results, and open problems of interest.

Human-Like Biomechanics

Download Human-Like Biomechanics PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 1402041179
Total Pages : 480 pages
Book Rating : 4.4/5 (2 download)

DOWNLOAD NOW!


Book Synopsis Human-Like Biomechanics by : Vladimir G. Ivancevic

Download or read book Human-Like Biomechanics written by Vladimir G. Ivancevic and published by Springer Science & Business Media. This book was released on 2008-01-11 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: Human-Like Biomechanics is a comprehensive introduction into modern geometrical methods to be used as a unified research approach in two apparently separate and rapidly growing fields: mathematical biomechanics and humanoid robotics. The book contains six Chapters and an Appendix. The first Chapter is an Introduction, giving a brief review of mathematical techniques to be used in the text. The second Chapter develops geometrical basis of human-like biomechanics, while the third Chapter develops its mechanical basis, mainly from generalized Lagrangian and Hamiltonian perspective. The fourth Chapter develops topology of human-like biomechanics, while the fifth Chapter reviews related nonlinear control techniques. The sixth Chapter develops covariant biophysics of electro-muscular stimulation. The Appendix consists of two parts: classical muscular mechanics and modern path integral methods, which are both used frequently in the main text. The whole book is based on the authors’ own research papers in human-like biomechanics.

Conformal Dimension

Download Conformal Dimension PDF Online Free

Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821852299
Total Pages : 162 pages
Book Rating : 4.8/5 (218 download)

DOWNLOAD NOW!


Book Synopsis Conformal Dimension by : John M. Mackay

Download or read book Conformal Dimension written by John M. Mackay and published by American Mathematical Soc.. This book was released on 2010 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: Conformal dimension measures the extent to which the Hausdorff dimension of a metric space can be lowered by quasisymmetric deformations. Introduced by Pansu in 1989, this concept has proved extremely fruitful in a diverse range of areas, including geometric function theory, conformal dynamics, and geometric group theory. This survey leads the reader from the definitions and basic theory through to active research applications in geometric function theory, Gromov hyperbolic geometry, and the dynamics of rational maps, amongst other areas. It reviews the theory of dimension in metric spaces and of deformations of metric spaces. It summarizes the basic tools for estimating conformal dimension and illustrates their application to concrete problems of independent interest. Numerous examples and proofs are provided. Working from basic definitions through to current research areas, this book can be used as a guide for graduate students interested in this field, or as a helpful survey for experts. Background needed for a potential reader of the book consists of a working knowledge of real and complex analysis on the level of first- and second-year graduate courses.

Lie Groups and Geometric Aspects of Isometric Actions

Download Lie Groups and Geometric Aspects of Isometric Actions PDF Online Free

Author :
Publisher : Springer
ISBN 13 : 3319166131
Total Pages : 215 pages
Book Rating : 4.3/5 (191 download)

DOWNLOAD NOW!


Book Synopsis Lie Groups and Geometric Aspects of Isometric Actions by : Marcos M. Alexandrino

Download or read book Lie Groups and Geometric Aspects of Isometric Actions written by Marcos M. Alexandrino and published by Springer. This book was released on 2015-05-22 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides quick access to the theory of Lie groups and isometric actions on smooth manifolds, using a concise geometric approach. After a gentle introduction to the subject, some of its recent applications to active research areas are explored, keeping a constant connection with the basic material. The topics discussed include polar actions, singular Riemannian foliations, cohomogeneity one actions, and positively curved manifolds with many symmetries. This book stems from the experience gathered by the authors in several lectures along the years and was designed to be as self-contained as possible. It is intended for advanced undergraduates, graduate students and young researchers in geometry and can be used for a one-semester course or independent study.

Geometry of Manifolds with Non-negative Sectional Curvature

Download Geometry of Manifolds with Non-negative Sectional Curvature PDF Online Free

Author :
Publisher : Springer
ISBN 13 : 3319063731
Total Pages : 202 pages
Book Rating : 4.3/5 (19 download)

DOWNLOAD NOW!


Book Synopsis Geometry of Manifolds with Non-negative Sectional Curvature by : Owen Dearricott

Download or read book Geometry of Manifolds with Non-negative Sectional Curvature written by Owen Dearricott and published by Springer. This book was released on 2014-07-22 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: Providing an up-to-date overview of the geometry of manifolds with non-negative sectional curvature, this volume gives a detailed account of the most recent research in the area. The lectures cover a wide range of topics such as general isometric group actions, circle actions on positively curved four manifolds, cohomogeneity one actions on Alexandrov spaces, isometric torus actions on Riemannian manifolds of maximal symmetry rank, n-Sasakian manifolds, isoparametric hypersurfaces in spheres, contact CR and CR submanifolds, Riemannian submersions and the Hopf conjecture with symmetry. Also included is an introduction to the theory of exterior differential systems.

Mathematical Reviews

Download Mathematical Reviews PDF Online Free

Author :
Publisher :
ISBN 13 :
Total Pages : 1596 pages
Book Rating : 4.X/5 (6 download)

DOWNLOAD NOW!


Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2003 with total page 1596 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Geometry Of Biharmonic Mappings: Differential Geometry Of Variational Methods

Download Geometry Of Biharmonic Mappings: Differential Geometry Of Variational Methods PDF Online Free

Author :
Publisher : World Scientific
ISBN 13 : 9813236418
Total Pages : 349 pages
Book Rating : 4.8/5 (132 download)

DOWNLOAD NOW!


Book Synopsis Geometry Of Biharmonic Mappings: Differential Geometry Of Variational Methods by : Hajime Urakawa

Download or read book Geometry Of Biharmonic Mappings: Differential Geometry Of Variational Methods written by Hajime Urakawa and published by World Scientific. This book was released on 2018-12-06 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'The present volume, written in a clear and precise style, ends with a rich bibliography of 167 items, including some classical books and papers. In the reviewer’s opinion, this excellent monograph will be a basic reference for graduate students and researchers working in the field of differential geometry of variational methods.'zbMATHThe author describes harmonic maps which are critical points of the energy functional, and biharmonic maps which are critical points of the bienergy functional. Also given are fundamental materials of the variational methods in differential geometry, and also fundamental materials of differential geometry.

Recent Developments in Pseudo-Riemannian Geometry

Download Recent Developments in Pseudo-Riemannian Geometry PDF Online Free

Author :
Publisher : European Mathematical Society
ISBN 13 : 9783037190517
Total Pages : 556 pages
Book Rating : 4.1/5 (95 download)

DOWNLOAD NOW!


Book Synopsis Recent Developments in Pseudo-Riemannian Geometry by : Dmitriĭ Vladimirovich Alekseevskiĭ

Download or read book Recent Developments in Pseudo-Riemannian Geometry written by Dmitriĭ Vladimirovich Alekseevskiĭ and published by European Mathematical Society. This book was released on 2008 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to and survey of recent developments in pseudo-Riemannian geometry, including applications in mathematical physics, by leading experts in the field. Topics covered are: Classification of pseudo-Riemannian symmetric spaces Holonomy groups of Lorentzian and pseudo-Riemannian manifolds Hypersymplectic manifolds Anti-self-dual conformal structures in neutral signature and integrable systems Neutral Kahler surfaces and geometric optics Geometry and dynamics of the Einstein universe Essential conformal structures and conformal transformations in pseudo-Riemannian geometry The causal hierarchy of spacetimes Geodesics in pseudo-Riemannian manifolds Lorentzian symmetric spaces in supergravity Generalized geometries in supergravity Einstein metrics with Killing leaves The book is addressed to advanced students as well as to researchers in differential geometry, global analysis, general relativity and string theory. It shows essential differences between the geometry on manifolds with positive definite metrics and on those with indefinite metrics, and highlights the interesting new geometric phenomena, which naturally arise in the indefinite metric case. The reader finds a description of the present state of the art in the field as well as open problems, which can stimulate further research.

High Energy Physics And Cosmology - 1989 Summer School

Download High Energy Physics And Cosmology - 1989 Summer School PDF Online Free

Author :
Publisher : World Scientific
ISBN 13 : 9814611751
Total Pages : 708 pages
Book Rating : 4.8/5 (146 download)

DOWNLOAD NOW!


Book Synopsis High Energy Physics And Cosmology - 1989 Summer School by : Jogesh C Pati

Download or read book High Energy Physics And Cosmology - 1989 Summer School written by Jogesh C Pati and published by World Scientific. This book was released on 1990-05-01 with total page 708 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Pseudo-Riemannian Geometry, [delta]-invariants and Applications

Download Pseudo-Riemannian Geometry, [delta]-invariants and Applications PDF Online Free

Author :
Publisher : World Scientific
ISBN 13 : 9814329630
Total Pages : 510 pages
Book Rating : 4.8/5 (143 download)

DOWNLOAD NOW!


Book Synopsis Pseudo-Riemannian Geometry, [delta]-invariants and Applications by : Bang-yen Chen

Download or read book Pseudo-Riemannian Geometry, [delta]-invariants and Applications written by Bang-yen Chen and published by World Scientific. This book was released on 2011 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first part of this book provides a self-contained and accessible introduction to the subject in the general setting of pseudo-Riemannian manifolds and their non-degenerate submanifolds, only assuming from the reader some basic knowledge about manifold theory. A number of recent results on pseudo-Riemannian submanifolds are also included.The second part of this book is on ë-invariants, which was introduced in the early 1990s by the author. The famous Nash embedding theorem published in 1956 was aimed for, in the hope that if Riemannian manifolds could be regarded as Riemannian submanifolds, this would then yield the opportunity to use extrinsic help. However, this hope had not been materialized as pointed out by M Gromov in his 1985 article published in Asterisque. The main reason for this is the lack of control of the extrinsic invariants of the submanifolds by known intrinsic invariants. In order to overcome such difficulties, as well as to provide answers for an open question on minimal immersions, the author introduced in the early 1990s new types of Riemannian invariants, known as ë-invariants, which are very different in nature from the classical Ricci and scalar curvatures. At the same time he was able to establish general optimal relations between ë-invariants and the main extrinsic invariants. Since then many new results concerning these ë-invariants have been obtained by many geometers. The second part of this book is to provide an extensive and comprehensive survey over this very active field of research done during the last two decades.

Prospects Of Differential Geometry And Its Related Fields - Proceedings Of The 3rd International Colloquium On Differential Geometry And Its Related Fields

Download Prospects Of Differential Geometry And Its Related Fields - Proceedings Of The 3rd International Colloquium On Differential Geometry And Its Related Fields PDF Online Free

Author :
Publisher : World Scientific
ISBN 13 : 9814541826
Total Pages : 243 pages
Book Rating : 4.8/5 (145 download)

DOWNLOAD NOW!


Book Synopsis Prospects Of Differential Geometry And Its Related Fields - Proceedings Of The 3rd International Colloquium On Differential Geometry And Its Related Fields by : Toshiaki Adachi

Download or read book Prospects Of Differential Geometry And Its Related Fields - Proceedings Of The 3rd International Colloquium On Differential Geometry And Its Related Fields written by Toshiaki Adachi and published by World Scientific. This book was released on 2013-09-24 with total page 243 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of contributions by the main participants of the 3rd International Colloquium on Differential Geometry and its Related Fields (ICDG2012), which was held in Veliko Tarnovo, Bulgaria. Readers will find original papers by specialists and well-organized reports of recent developments in the fields of differential geometry, complex analysis, information geometry, mathematical physics and coding theory. This volume provides significant information that will be useful to researchers and serves as a good guide for young scientists. It is also for those who wish to start investigating these topics and interested in their interdisciplinary areas.

Differential Geometry Of Warped Product Manifolds And Submanifolds

Download Differential Geometry Of Warped Product Manifolds And Submanifolds PDF Online Free

Author :
Publisher : World Scientific
ISBN 13 : 9813208945
Total Pages : 517 pages
Book Rating : 4.8/5 (132 download)

DOWNLOAD NOW!


Book Synopsis Differential Geometry Of Warped Product Manifolds And Submanifolds by : Bang-yen Chen

Download or read book Differential Geometry Of Warped Product Manifolds And Submanifolds written by Bang-yen Chen and published by World Scientific. This book was released on 2017-05-29 with total page 517 pages. Available in PDF, EPUB and Kindle. Book excerpt: A warped product manifold is a Riemannian or pseudo-Riemannian manifold whose metric tensor can be decomposed into a Cartesian product of the y geometry and the x geometry — except that the x-part is warped, that is, it is rescaled by a scalar function of the other coordinates y. The notion of warped product manifolds plays very important roles not only in geometry but also in mathematical physics, especially in general relativity. In fact, many basic solutions of the Einstein field equations, including the Schwarzschild solution and the Robertson-Walker models, are warped product manifolds.The first part of this volume provides a self-contained and accessible introduction to the important subject of pseudo-Riemannian manifolds and submanifolds. The second part presents a detailed and up-to-date account on important results of warped product manifolds, including several important spacetimes such as Robertson-Walker's and Schwarzschild's.The famous John Nash's embedding theorem published in 1956 implies that every warped product manifold can be realized as a warped product submanifold in a suitable Euclidean space. The study of warped product submanifolds in various important ambient spaces from an extrinsic point of view was initiated by the author around the beginning of this century.The last part of this volume contains an extensive and comprehensive survey of numerous important results on the geometry of warped product submanifolds done during this century by many geometers.

Conformal, Riemannian and Lagrangian Geometry

Download Conformal, Riemannian and Lagrangian Geometry PDF Online Free

Author :
Publisher : American Mathematical Soc.
ISBN 13 : 9781470421731
Total Pages : 85 pages
Book Rating : 4.4/5 (217 download)

DOWNLOAD NOW!


Book Synopsis Conformal, Riemannian and Lagrangian Geometry by : Sun-Yung A. Chang

Download or read book Conformal, Riemannian and Lagrangian Geometry written by Sun-Yung A. Chang and published by American Mathematical Soc.. This book was released on 2002 with total page 85 pages. Available in PDF, EPUB and Kindle. Book excerpt: Developments in topology and analysis have led to the creation of new lines of investigation in differential geometry. The 2000 Barrett Lectures present the background, context and main techniques of three such lines by means of surveys by researchers.

Global Differential Geometry

Download Global Differential Geometry PDF Online Free

Author :
Publisher : Springer Science & Business Media
ISBN 13 : 3642228429
Total Pages : 520 pages
Book Rating : 4.6/5 (422 download)

DOWNLOAD NOW!


Book Synopsis Global Differential Geometry by : Christian Bär

Download or read book Global Differential Geometry written by Christian Bär and published by Springer Science & Business Media. This book was released on 2011-12-18 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains a collection of well-written surveys provided by experts in Global Differential Geometry to give an overview over recent developments in Riemannian Geometry, Geometric Analysis and Symplectic Geometry. The papers are written for graduate students and researchers with a general interest in geometry, who want to get acquainted with the current trends in these central fields of modern mathematics.