Read Books Online and Download eBooks, EPub, PDF, Mobi, Kindle, Text Full Free.
Download Connections On Infinite Dimensional Manifolds full books in PDF, epub, and Kindle. Read online Connections On Infinite Dimensional Manifolds ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Author : Morris Lee Hamilton
Publisher :
ISBN 13 :
Total Pages : 124 pages
Book Rating : 4.:/5 (176 download)
Download or read book Connections on Infinite-dimensional Manifolds written by Morris Lee Hamilton and published by . This book was released on 1973 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Katsuro Sakai
Publisher : Springer Nature
ISBN 13 : 9811575754
Total Pages : 619 pages
Book Rating : 4.8/5 (115 download)
Download or read book Topology of Infinite-Dimensional Manifolds written by Katsuro Sakai and published by Springer Nature. This book was released on 2020-11-21 with total page 619 pages. Available in PDF, EPUB and Kindle. Book excerpt: An infinite-dimensional manifold is a topological manifold modeled on some infinite-dimensional homogeneous space called a model space. In this book, the following spaces are considered model spaces: Hilbert space (or non-separable Hilbert spaces), the Hilbert cube, dense subspaces of Hilbert spaces being universal spaces for absolute Borel spaces, the direct limit of Euclidean spaces, and the direct limit of Hilbert cubes (which is homeomorphic to the dual of a separable infinite-dimensional Banach space with bounded weak-star topology). This book is designed for graduate students to acquire knowledge of fundamental results on infinite-dimensional manifolds and their characterizations. To read and understand this book, some background is required even for senior graduate students in topology, but that background knowledge is minimized and is listed in the first chapter so that references can easily be found. Almost all necessary background information is found in Geometric Aspects of General Topology, the author's first book. Many kinds of hyperspaces and function spaces are investigated in various branches of mathematics, which are mostly infinite-dimensional. Among them, many examples of infinite-dimensional manifolds have been found. For researchers studying such objects, this book will be very helpful. As outstanding applications of Hilbert cube manifolds, the book contains proofs of the topological invariance of Whitehead torsion and Borsuk’s conjecture on the homotopy type of compact ANRs. This is also the first book that presents combinatorial ∞-manifolds, the infinite-dimensional version of combinatorial n-manifolds, and proofs of two remarkable results, that is, any triangulation of each manifold modeled on the direct limit of Euclidean spaces is a combinatorial ∞-manifold and the Hauptvermutung for them is true.
Author : Alan Huckleberry
Publisher : Birkhäuser
ISBN 13 : 3034882270
Total Pages : 385 pages
Book Rating : 4.0/5 (348 download)
Download or read book Infinite Dimensional Kähler Manifolds written by Alan Huckleberry and published by Birkhäuser. This book was released on 2012-12-06 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: Infinite dimensional manifolds, Lie groups and algebras arise naturally in many areas of mathematics and physics. Having been used mainly as a tool for the study of finite dimensional objects, the emphasis has changed and they are now frequently studied for their own independent interest. On the one hand this is a collection of closely related articles on infinite dimensional Kähler manifolds and associated group actions which grew out of a DMV-Seminar on the same subject. On the other hand it covers significantly more ground than was possible during the seminar in Oberwolfach and is in a certain sense intended as a systematic approach which ranges from the foundations of the subject to recent developments. It should be accessible to doctoral students and as well researchers coming from a wide range of areas. The initial chapters are devoted to a rather selfcontained introduction to group actions on complex and symplectic manifolds and to Borel-Weil theory in finite dimensions. These are followed by a treatment of the basics of infinite dimensional Lie groups, their actions and their representations. Finally, a number of more specialized and advanced topics are discussed, e.g., Borel-Weil theory for loop groups, aspects of the Virasoro algebra, (gauge) group actions and determinant bundles, and second quantization and the geometry of the infinite dimensional Grassmann manifold.
Author : Tilmann Wurzbacher
Publisher : Walter de Gruyter
ISBN 13 : 3110200015
Total Pages : 259 pages
Book Rating : 4.1/5 (12 download)
Download or read book Infinite Dimensional Groups and Manifolds written by Tilmann Wurzbacher and published by Walter de Gruyter. This book was released on 2008-08-22 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: The volume is a collection of refereed research papers on infinite dimensional groups and manifolds in mathematics and quantum physics. Topics covered are: new classes of Lie groups of mappings, the Burgers equation, the Chern--Weil construction in infinite dimensions, the hamiltonian approach to quantum field theory, and different aspects of large N limits ranging from approximation methods in quantum mechanics to modular forms and string/gauge theory duality. Directed at research mathematicians and theoretical physicists as well as graduate students, the volume gives an overview of important themes of research at the forefront of mathematics and theoretical physics.
Author : Alexander Schmeding
Publisher : Cambridge University Press
ISBN 13 : 1009089307
Total Pages : 284 pages
Book Rating : 4.0/5 (9 download)
Download or read book An Introduction to Infinite-Dimensional Differential Geometry written by Alexander Schmeding and published by Cambridge University Press. This book was released on 2022-12-22 with total page 284 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introducing foundational concepts in infinite-dimensional differential geometry beyond Banach manifolds, this text is based on Bastiani calculus. It focuses on two main areas of infinite-dimensional geometry: infinite-dimensional Lie groups and weak Riemannian geometry, exploring their connections to manifolds of (smooth) mappings. Topics covered include diffeomorphism groups, loop groups and Riemannian metrics for shape analysis. Numerous examples highlight both surprising connections between finite- and infinite-dimensional geometry, and challenges occurring solely in infinite dimensions. The geometric techniques developed are then showcased in modern applications of geometry such as geometric hydrodynamics, higher geometry in the guise of Lie groupoids, and rough path theory. With plentiful exercises, some with solutions, and worked examples, this will be indispensable for graduate students and researchers working at the intersection of functional analysis, non-linear differential equations and differential geometry. This title is also available as Open Access on Cambridge Core.
Author : Basil Nicolaenko
Publisher : American Mathematical Soc.
ISBN 13 : 0821851055
Total Pages : 380 pages
Book Rating : 4.8/5 (218 download)
Download or read book The Connection between Infinite Dimensional and Finite Dimensional Dynamical Systems written by Basil Nicolaenko and published by American Mathematical Soc.. This book was released on 1989 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: The last few years have seen a number of major developments demonstrating that the long-term behavior of solutions of a very large class of partial differential equations possesses a striking resemblance to the behavior of solutions of finite dimensional dynamical systems, or ordinary differential equations. The first of these advances was the discovery that a dissipative PDE has a compact, global attractor with finite Hausdorff and fractal dimensions. More recently, it was shown that some of these PDEs possess a finite dimensional inertial manifold-that is, an invariant manifold containing the attractor and exponentially attractive trajectories. With the improved understanding of the exact connection between finite dimensional dynamical systems and various classes of dissipative PDEs, it is now realistic to hope that the wealth of studies of such topics as bifurcations of finite vector fields and ``strange'' fractal attractors can be brought to bear on various mathematical models, including continuum flows. Surprisingly, a number of distributed systems from continuum mechanics have been found to exhibit the same nontrivial dynamic behavior as observed in low-dimensional dynamical systems. As a natural consequence of these observations, a new direction of research has arisen: detection and analysis of finite dimensional dynamical characteristics of infinite-dimensional systems. This book represents the proceedings of an AMS-IMS-SIAM Summer Research Conference, held in July, 1987 at the University of Colorado at Boulder. Bringing together mathematicians and physicists, the conference provided a forum for presentations on the latest developments in the field and fostered lively interactions on open questions and future directions. With contributions from some of the top experts, these proceedings will provide readers with an overview of this vital area of research.
Author : Richard S. Palais
Publisher :
ISBN 13 :
Total Pages : 386 pages
Book Rating : 4.3/5 (91 download)
Download or read book Lectures on the Differential Topology of Infinite Dimensional Manifolds written by Richard S. Palais and published by . This book was released on 1966 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Robert Geroch
Publisher : Minkowski Institute Press
ISBN 13 : 1927763169
Total Pages : 137 pages
Book Rating : 4.9/5 (277 download)
Download or read book Infinite-Dimensional Manifolds written by Robert Geroch and published by Minkowski Institute Press. This book was released on 2013-12-16 with total page 137 pages. Available in PDF, EPUB and Kindle. Book excerpt: Robert Geroch's lecture notes "Infinite-Dimensional Manifolds" provide a concise, clear, and helpful introduction to a wide range of subjects, which are essential in mathematical and theoretical physics - Banach spaces, open mapping theorem, splitting, bounded linear mappings, derivatives, mean value theorem, manifolds, mappings of manifolds, scalar and vector fields, tensor products, tensor spaces, natural tensors, tensor fields, tensor bundles, Lie derivatives, integral curves, geometry of Lie derivatives, exterior derivatives, derivative operators, partial differential equations, and Riemannian geometry. Like in his other books, Geroch explains even the most abstract concepts with the help of intuitive examples and many (over 60) figures. Like Geroch's other books, this book too can be used for self-study since each chapter contains examples plus a set of problems given in the Appendix.
Author : Victor Kac
Publisher : Springer Science & Business Media
ISBN 13 : 1461211042
Total Pages : 380 pages
Book Rating : 4.4/5 (612 download)
Download or read book Infinite Dimensional Groups with Applications written by Victor Kac and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume records most of the talks given at the Conference on Infinite-dimensional Groups held at the Mathematical Sciences Research Institute at Berkeley, California, May 10-May 15, 1984, as a part of the special program on Kac-Moody Lie algebras. The purpose of the conference was to review recent developments of the theory of infinite-dimensional groups and its applications. The present collection concentrates on three very active, interrelated directions of the field: general Kac-Moody groups, gauge groups (especially loop groups) and diffeomorphism groups. I would like to express my thanks to the MSRI for sponsoring the meeting, to Ms. Faye Yeager for excellent typing, to the authors for their manuscripts, and to Springer-Verlag for publishing this volume. V. Kac INFINITE DIMENSIONAL GROUPS WITH APPLICATIONS CONTENTS The Lie Group Structure of M. Adams. T. Ratiu 1 Diffeomorphism Groups and & R. Schmid Invertible Fourier Integral Operators with Applications On Landau-Lifshitz Equation and E. Date 71 Infinite Dimensional Groups Flat Manifolds and Infinite D. S. Freed 83 Dimensional Kahler Geometry Positive-Energy Representations R. Goodman 125 of the Group of Diffeomorphisms of the Circle Instantons and Harmonic Maps M. A. Guest 137 A Coxeter Group Approach to Z. Haddad 157 Schubert Varieties Constructing Groups Associated to V. G. Kac 167 Infinite-Dimensional Lie Algebras I. Kaplansky 217 Harish-Chandra Modules Over the Virasoro Algebra & L. J. Santharoubane 233 Rational Homotopy Theory of Flag S.
Author : Andreas Kriegl
Publisher : American Mathematical Soc.
ISBN 13 : 0821807803
Total Pages : 631 pages
Book Rating : 4.8/5 (218 download)
Download or read book The Convenient Setting of Global Analysis written by Andreas Kriegl and published by American Mathematical Soc.. This book was released on 1997 with total page 631 pages. Available in PDF, EPUB and Kindle. Book excerpt: For graduate students and research mathematicians interested in global analysis and the analysis of manifolds, lays the foundations for a differential calculus in infinite dimensions and discusses applications in infinite-dimension differential geometry and global analysis not involving Sobolev completions and fixed-point theory. Shows how the notion of smoothness as mapping smooth curves to smooth curves coincides with all known reasonable concepts up to Frechet spaces. Then develops a calculus of holomorphic mappings, and another of real analytical mapping. Emphasizes regular infinite dimensional Lie groups. Annotation copyrighted by Book News, Inc., Portland, OR
Author : Alan T. Huckleberry
Publisher : Birkhauser
ISBN 13 : 9780817666026
Total Pages : 375 pages
Book Rating : 4.6/5 (66 download)
Download or read book Infinite Dimensional Kähler Manifolds written by Alan T. Huckleberry and published by Birkhauser. This book was released on 2001-01-01 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Hideki Omori
Publisher : American Mathematical Soc.
ISBN 13 : 1470426358
Total Pages : 434 pages
Book Rating : 4.4/5 (74 download)
Download or read book Infinite-Dimensional Lie Groups written by Hideki Omori and published by American Mathematical Soc.. This book was released on 2017-11-07 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book develops, from the viewpoint of abstract group theory, a general theory of infinite-dimensional Lie groups involving the implicit function theorem and the Frobenius theorem. Omori treats as infinite-dimensional Lie groups all the real, primitive, infinite transformation groups studied by E. Cartan. The book discusses several noncommutative algebras such as Weyl algebras and algebras of quantum groups and their automorphism groups. The notion of a noncommutative manifold is described, and the deformation quantization of certain algebras is discussed from the viewpoint of Lie algebras. This edition is a revised version of the book of the same title published in Japanese in 1979.
Author : Boris Khesin
Publisher : Springer Science & Business Media
ISBN 13 : 3540772634
Total Pages : 304 pages
Book Rating : 4.5/5 (47 download)
Download or read book The Geometry of Infinite-Dimensional Groups written by Boris Khesin and published by Springer Science & Business Media. This book was released on 2008-09-28 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph gives an overview of various classes of infinite-dimensional Lie groups and their applications in Hamiltonian mechanics, fluid dynamics, integrable systems, gauge theory, and complex geometry. The text includes many exercises and open questions.
Author : Alexander Schmeding
Publisher : Cambridge University Press
ISBN 13 : 1316514889
Total Pages : 283 pages
Book Rating : 4.3/5 (165 download)
Download or read book An Introduction to Infinite-Dimensional Differential Geometry written by Alexander Schmeding and published by Cambridge University Press. This book was released on 2022-12-31 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduces foundational concepts in infinite-dimensional differential geometry beyond Banach manifolds, showcasing its modern applications.
Author : Jesús A. Alvarez López
Publisher : World Scientific
ISBN 13 : 9814261173
Total Pages : 343 pages
Book Rating : 4.8/5 (142 download)
Download or read book Differential Geometry written by Jesús A. Alvarez López and published by World Scientific. This book was released on 2009 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: A brief portrait of the life and work of Professor Enrique Vidal Abascal / L.A. Cordero -- pt. A. Foliation theory. Characteristic classes for Riemannian foliations / S. Hurder. Non unique-ergodicity of harmonic measures: Smoothing Samuel Petite's examples / B, Deroin. On the uniform simplicity of diffeomorphism groups / T. Tsuboi. On Bennequin's isotopy lemma and Thurston's inequality / Y. Mitsumatsu. On the Julia sets of complex codimension-one transversally holomorphic foliations / T. Asuke. Singular Riemannian foliations on spaces without conjugate points / A. Lytchak. Variational formulae for the total mean curvatures of a codimension-one distribution / V. Rovenski and P. Walczak. On a Weitzenböck-like formula for Riemannian foliations / V. Slesar. Duality and minimality for Riemannian foliations on open manifolds / X.M. Masa. Open problems on foliations -- pt. B. Riemannian geometry. Graphs with prescribed mean curvature / M. Dajczer. Genuine isometric and conformal deformations of submanifolds / R. Tojeiro. Totally geodesic submanifolds in Riemannian symmetric spaces / S. Klein. The orbits of cohomogeneity one actions on complex hyperbolic spaces / J.C. Díaz-Ramos. Rigidity results for geodesic spheres in space forms / J. Roth. Mean curvature flow and Bernstein-Calabi results for spacelike graphs / G. Li and I.M.C. Salavessa. Riemannian geometric realizations for Ricci tensors of generalized algebraic curvature operators / P. Gilkey, S. Nikc̮ević and D. Westerman. Conformally Osserman multiply warped product structures in the Riemannian setting / M. Brozos-Vázquez, M.E. Vázquez-Abal and R. Vázquez-Lorenzo. Riemannian [symbol]-symmetric spaces / M. Goze and E. Remm. Methods for solving the Jacobi equation. Constant osculating rank vs. constant Jacobi osculating rank / T. Arias-Marco. On the reparametrization of affine homogeneous geodesics / Z. Dus̮ek. Conjugate connections and differential equations on infinite dimensional manifolds / M. Aghasi [und weitere]. Totally biharmonic submanifolds / D. Impera and S. Montaldo. The biharmonicity of unit vector fields on the Poincaré half-space H[symbol] / M.K. Markellos. Perspectives on biharmonic maps and submanifolds / A. Balmus. Contact pair structures and associated metrics / G. Bande and A. Hadjar. Paraquaternionic manifolds and mixed 3-structures / S. Ianus and G.E. Vi̮lcu. On topological obstruction of compact positively Ricci curved manifolds / W.-H. Chen. Gray curvature conditions and the Tanaka-Webster connection / R. Mocanu. Riemannian structures on higher order frame bundles from classical linear connections / J. Kurek and W.M. Mikulski. Distributions on the cotangent bundle from torsion-free connections / J. Kurek and W.M. Mikulski. On the geodesics of the rotational surfaces in the Bianchi-Cartan-Vranceanu spaces / P. Piu and M.M. Profir. Cotangent bundles with general natural Kähler structures of quasi-constant holomorphic sectional curvatures / S.L. Druta̮. Polynomial translation Weingarten surfaces in 3-dimensional Euclidean space / M.I. Munteanu and A.I. Nistor. G-structures defined on pseudo-Riemannian manifolds / I. Sánchez-Rodríguez -- List of participants
Author : Frank Quinn
Publisher :
ISBN 13 :
Total Pages : 38 pages
Book Rating : 4.:/5 (214 download)
Download or read book Transversality in Infinite Dimensional Manifolds written by Frank Quinn and published by . This book was released on 1967 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Serge Lang
Publisher : Springer Science & Business Media
ISBN 13 : 1461241820
Total Pages : 376 pages
Book Rating : 4.4/5 (612 download)
Download or read book Differential and Riemannian Manifolds written by Serge Lang and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the third version of a book on differential manifolds. The first version appeared in 1962, and was written at the very beginning of a period of great expansion of the subject. At the time, I found no satisfactory book for the foundations of the subject, for multiple reasons. I expanded the book in 1971, and I expand it still further today. Specifically, I have added three chapters on Riemannian and pseudo Riemannian geometry, that is, covariant derivatives, curvature, and some applications up to the Hopf-Rinow and Hadamard-Cartan theorems, as well as some calculus of variations and applications to volume forms. I have rewritten the sections on sprays, and I have given more examples of the use of Stokes' theorem. I have also given many more references to the literature, all of this to broaden the perspective of the book, which I hope can be used among things for a general course leading into many directions. The present book still meets the old needs, but fulfills new ones. At the most basic level, the book gives an introduction to the basic concepts which are used in differential topology, differential geometry, and differential equations. In differential topology, one studies for instance homotopy classes of maps and the possibility of finding suitable differentiable maps in them (immersions, embeddings, isomorphisms, etc.).
