Surveys in Differential Geometry

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Publisher :
ISBN 13 :
Total Pages : 460 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Surveys in Differential Geometry by : Shing-Tung Yau

Download or read book Surveys in Differential Geometry written by Shing-Tung Yau and published by . This book was released on 2003 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Metric and Differential Geometry

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Publisher : Springer Science & Business Media
ISBN 13 : 3034802579
Total Pages : 364 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Metric and Differential Geometry by : Xianzhe Dai

Download or read book Metric and Differential Geometry written by Xianzhe Dai and published by Springer Science & Business Media. This book was released on 2012-06-01 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: Metric and Differential Geometry grew out of a similarly named conference held at Chern Institute of Mathematics, Tianjin and Capital Normal University, Beijing. The various contributions to this volume cover a broad range of topics in metric and differential geometry, including metric spaces, Ricci flow, Einstein manifolds, Kähler geometry, index theory, hypoelliptic Laplacian and analytic torsion. It offers the most recent advances as well as surveys the new developments. Contributors: M.T. Anderson J.-M. Bismut X. Chen X. Dai R. Harvey P. Koskela B. Lawson X. Ma R. Melrose W. Müller A. Naor J. Simons C. Sormani D. Sullivan S. Sun G. Tian K. Wildrick W. Zhang

Surveys in Differential Geometry

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Publisher :
ISBN 13 :
Total Pages : 328 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Surveys in Differential Geometry by : Chuan-Chih Hsiung

Download or read book Surveys in Differential Geometry written by Chuan-Chih Hsiung and published by . This book was released on 1991 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains papers presented at a conference organized by the editors of the ""Journal of Differential Geometry"" which featured speakers representing algebraic geometry and mathematical physics, among other areas.

Surveys in Differential Geometry

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Publisher :
ISBN 13 : 9781571461384
Total Pages : 344 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Surveys in Differential Geometry by : Huai-Dong Cao

Download or read book Surveys in Differential Geometry written by Huai-Dong Cao and published by . This book was released on 2009 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Metrics, Connections and Gluing Theorems

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Publisher : American Mathematical Soc.
ISBN 13 : 0821803239
Total Pages : 90 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Metrics, Connections and Gluing Theorems by : Clifford Taubes

Download or read book Metrics, Connections and Gluing Theorems written by Clifford Taubes and published by American Mathematical Soc.. This book was released on 1996 with total page 90 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, the author's goal is to provide an introduction to some of the analytic underpinnings for the geometry of anti-self duality in 4-dimensions. Anti-self duality is rather special to 4-dimensions and the imposition of this condition on curvatures of connections on vector bundles and on curvatures of Riemannian metrics has resulted in some spectacular mathematics. The book reviews some basic geometry, but it is assumed that the reader has a general background in differential geometry (as would be obtained by reading a standard text on the subject). Some of the fundamental references include Atiyah, Hitchin and Singer, Freed and Uhlenbeck, Donaldson and Kronheimer, and Kronheimer and Mrowka. The last chapter contains open problems and conjectures.

Metric Structures in Differential Geometry

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Publisher : Springer Science & Business Media
ISBN 13 : 0387218262
Total Pages : 235 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Metric Structures in Differential Geometry by : Gerard Walschap

Download or read book Metric Structures in Differential Geometry written by Gerard Walschap and published by Springer Science & Business Media. This book was released on 2012-08-23 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an introduction to the theory of differentiable manifolds and fiber bundles. It examines bundles from the point of view of metric differential geometry: Euclidean bundles, Riemannian connections, curvature, and Chern-Weil theory are discussed, including the Pontrjagin, Euler, and Chern characteristic classes of a vector bundle. These concepts are illustrated in detail for bundles over spheres.

Lectures and Surveys on G2-Manifolds and Related Topics

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Publisher : Springer Nature
ISBN 13 : 1071605771
Total Pages : 392 pages
Book Rating : 4.0/5 (716 download)

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Book Synopsis Lectures and Surveys on G2-Manifolds and Related Topics by : Spiro Karigiannis

Download or read book Lectures and Surveys on G2-Manifolds and Related Topics written by Spiro Karigiannis and published by Springer Nature. This book was released on 2020-05-26 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, one of the first on G2 manifolds in decades, collects introductory lectures and survey articles largely based on talks given at a workshop held at the Fields Institute in August 2017, as part of the major thematic program on geometric analysis. It provides an accessible introduction to various aspects of the geometry of G2 manifolds, including the construction of examples, as well as the intimate relations with calibrated geometry, Yang-Mills gauge theory, and geometric flows. It also features the inclusion of a survey on the new topological and analytic invariants of G2 manifolds that have been recently discovered. The first half of the book, consisting of several introductory lectures, is aimed at experienced graduate students or early career researchers in geometry and topology who wish to familiarize themselves with this burgeoning field. The second half, consisting of numerous survey articles, is intended to be useful to both beginners and experts in the field.

Metric and Comparison Geometry

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Publisher :
ISBN 13 :
Total Pages : 368 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Metric and Comparison Geometry by : Jeff Cheeger

Download or read book Metric and Comparison Geometry written by Jeff Cheeger and published by . This book was released on 2007 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Seminar on Differential Geometry. (AM-102), Volume 102

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Publisher : Princeton University Press
ISBN 13 : 1400881919
Total Pages : 720 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Seminar on Differential Geometry. (AM-102), Volume 102 by : Shing-tung Yau

Download or read book Seminar on Differential Geometry. (AM-102), Volume 102 written by Shing-tung Yau and published by Princeton University Press. This book was released on 2016-03-02 with total page 720 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of papers constitutes a wide-ranging survey of recent developments in differential geometry and its interactions with other fields, especially partial differential equations and mathematical physics. This area of mathematics was the subject of a special program at the Institute for Advanced Study in Princeton during the academic year 1979-1980; the papers in this volume were contributed by the speakers in the sequence of seminars organized by Shing-Tung Yau for this program. Both survey articles and articles presenting new results are included. The articles on differential geometry and partial differential equations include a general survey article by the editor on the relationship of the two fields and more specialized articles on topics including harmonic mappings, isoperimetric and Poincaré inequalities, metrics with specified curvature properties, the Monge-Arnpere equation, L2 harmonic forms and cohomology, manifolds of positive curvature, isometric embedding, and Kraumlhler manifolds and metrics. The articles on differential geometry and mathematical physics cover such topics as renormalization, instantons, gauge fields and the Yang-Mills equation, nonlinear evolution equations, incompleteness of space-times, black holes, and quantum gravity. A feature of special interest is the inclusion of a list of more than one hundred unsolved research problems compiled by the editor with comments and bibliographical information.

Surveys in Differential Geometry

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Publisher :
ISBN 13 :
Total Pages : 722 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Surveys in Differential Geometry by : Shing-Tung Yau

Download or read book Surveys in Differential Geometry written by Shing-Tung Yau and published by . This book was released on 2000 with total page 722 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Surveys in Differential Geometry

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Publisher : International Press of Boston
ISBN 13 :
Total Pages : 472 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Surveys in Differential Geometry by : Chuan-Chih Hsiung

Download or read book Surveys in Differential Geometry written by Chuan-Chih Hsiung and published by International Press of Boston. This book was released on 1995 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of essays on differential geometry includes: the formation of singularities; spaces of algebraic cycles; rational points and rational curves; reflections on geometry and physics; and homology cobordism.

Handbook of Differential Geometry

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Publisher : Elsevier
ISBN 13 : 9780080461205
Total Pages : 574 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Handbook of Differential Geometry by : Franki J.E. Dillen

Download or read book Handbook of Differential Geometry written by Franki J.E. Dillen and published by Elsevier. This book was released on 2005-11-29 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the series of volumes which together will constitute the "Handbook of Differential Geometry" we try to give a rather complete survey of the field of differential geometry. The different chapters will both deal with the basic material of differential geometry and with research results (old and recent). All chapters are written by experts in the area and contain a large bibliography. In this second volume a wide range of areas in the very broad field of differential geometry is discussed, as there are Riemannian geometry, Lorentzian geometry, Finsler geometry, symplectic geometry, contact geometry, complex geometry, Lagrange geometry and the geometry of foliations. Although this does not cover the whole of differential geometry, the reader will be provided with an overview of some its most important areas. . Written by experts and covering recent research . Extensive bibliography . Dealing with a diverse range of areas . Starting from the basics

New Trends on Analysis and Geometry in Metric Spaces

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Publisher : Springer Nature
ISBN 13 : 3030841413
Total Pages : 312 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis New Trends on Analysis and Geometry in Metric Spaces by : Fabrice Baudoin

Download or read book New Trends on Analysis and Geometry in Metric Spaces written by Fabrice Baudoin and published by Springer Nature. This book was released on 2022-02-04 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book includes four courses on geometric measure theory, the calculus of variations, partial differential equations, and differential geometry. Authored by leading experts in their fields, the lectures present different approaches to research topics with the common background of a relevant underlying, usually non-Riemannian, geometric structure. In particular, the topics covered concern differentiation and functions of bounded variation in metric spaces, Sobolev spaces, and differential geometry in the so-called Carnot–Carathéodory spaces. The text is based on lectures presented at the 10th School on "Analysis and Geometry in Metric Spaces" held in Levico Terme (TN), Italy, in collaboration with the University of Trento, Fondazione Bruno Kessler and CIME, Italy. The book is addressed to both graduate students and researchers.

Essays on Einstein Manifolds

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Publisher : American Mathematical Society(RI)
ISBN 13 :
Total Pages : 450 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Essays on Einstein Manifolds by : Claude LeBrun

Download or read book Essays on Einstein Manifolds written by Claude LeBrun and published by American Mathematical Society(RI). This book was released on 1999 with total page 450 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the sixth volume in a series providing surveys of differential geometry. It addresses: Einstein manifolds with zero Ricci curvature; rigidity and compactness of Einstein metrics; general relativity; the stability of Minkowski space-time; and more.

Handbook of Differential Geometry, Volume 1

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Publisher : Elsevier
ISBN 13 : 0080532837
Total Pages : 1067 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Handbook of Differential Geometry, Volume 1 by : F.J.E. Dillen

Download or read book Handbook of Differential Geometry, Volume 1 written by F.J.E. Dillen and published by Elsevier. This book was released on 1999-12-16 with total page 1067 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the series of volumes which together will constitute the Handbook of Differential Geometry a rather complete survey of the field of differential geometry is given. The different chapters will both deal with the basic material of differential geometry and with research results (old and recent). All chapters are written by experts in the area and contain a large bibliography.

Surveys in Geometry I

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Publisher : Springer Nature
ISBN 13 : 3030866955
Total Pages : 469 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Surveys in Geometry I by : Athanase Papadopoulos

Download or read book Surveys in Geometry I written by Athanase Papadopoulos and published by Springer Nature. This book was released on 2022-02-18 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: The volume consists of a set of surveys on geometry in the broad sense. The goal is to present a certain number of research topics in a non-technical and appealing manner. The topics surveyed include spherical geometry, the geometry of finite-dimensional normed spaces, metric geometry (Bishop—Gromov type inequalities in Gromov-hyperbolic spaces), convexity theory and inequalities involving volumes and mixed volumes of convex bodies, 4-dimensional topology, Teichmüller spaces and mapping class groups actions, translation surfaces and their dynamics, and complex higher-dimensional geometry. Several chapters are based on lectures given by their authors to middle-advanced level students and young researchers. The whole book is intended to be an introduction to current research trends in geometry.

Metric and Differential Geometry

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Publisher : Birkhäuser
ISBN 13 : 9783034802581
Total Pages : 364 pages
Book Rating : 4.8/5 (25 download)

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Book Synopsis Metric and Differential Geometry by : Xianzhe Dai

Download or read book Metric and Differential Geometry written by Xianzhe Dai and published by Birkhäuser. This book was released on 2012-06-01 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: Metric and Differential Geometry grew out of a similarly named conference held at Chern Institute of Mathematics, Tianjin and Capital Normal University, Beijing. The various contributions to this volume cover a broad range of topics in metric and differential geometry, including metric spaces, Ricci flow, Einstein manifolds, Kähler geometry, index theory, hypoelliptic Laplacian and analytic torsion. It offers the most recent advances as well as surveys the new developments. Contributors: M.T. Anderson J.-M. Bismut X. Chen X. Dai R. Harvey P. Koskela B. Lawson X. Ma R. Melrose W. Müller A. Naor J. Simons C. Sormani D. Sullivan S. Sun G. Tian K. Wildrick W. Zhang