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Author : Jeff Cheeger
Publisher : Newnes
ISBN 13 : 0720424615
Total Pages : 184 pages
Book Rating : 4.7/5 (24 download)
Download or read book Comparison Theorems in Riemannian Geometry written by Jeff Cheeger and published by Newnes. This book was released on 1975 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jeff Cheeger
Publisher :
ISBN 13 : 9780720424508
Total Pages : 174 pages
Book Rating : 4.4/5 (245 download)
Download or read book Comparison Theorems in Riemannian Geometry written by Jeff Cheeger and published by . This book was released on 1975 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jeff Cheeger
Publisher :
ISBN 13 : 9780720424508
Total Pages : 174 pages
Book Rating : 4.4/5 (245 download)
Download or read book Comparison Theorems in Riemannian Geometry written by Jeff Cheeger and published by . This book was released on 1975 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Karsten Grove
Publisher : Cambridge University Press
ISBN 13 : 9780521592222
Total Pages : 280 pages
Book Rating : 4.5/5 (922 download)
Download or read book Comparison Geometry written by Karsten Grove and published by Cambridge University Press. This book was released on 1997-05-13 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an up to date work on a branch of Riemannian geometry called Comparison Geometry.
Author : Jeff Cheeger
Publisher : Newnes
ISBN 13 : 0444107649
Total Pages : 183 pages
Book Rating : 4.4/5 (441 download)
Download or read book Comparison Theorems in Riemannian Geometry written by Jeff Cheeger and published by Newnes. This book was released on 2009-01-15 with total page 183 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comparison Theorems in Riemannian Geometry
Author : Jost-Hinrich Eschenburg
Publisher :
ISBN 13 :
Total Pages : 77 pages
Book Rating : 4.:/5 (793 download)
Download or read book Comparison Theorems in Riemannian Geometry written by Jost-Hinrich Eschenburg and published by . This book was released on 1994 with total page 77 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Peter Petersen
Publisher : Springer Science & Business Media
ISBN 13 : 1475764340
Total Pages : 443 pages
Book Rating : 4.4/5 (757 download)
Download or read book Riemannian Geometry written by Peter Petersen and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intended for a one year course, this volume serves as a single source, introducing students to the important techniques and theorems, while also containing enough background on advanced topics to appeal to those students wishing to specialise in Riemannian geometry. Instead of variational techniques, the author uses a unique approach, emphasising distance functions and special co-ordinate systems. He also uses standard calculus with some techniques from differential equations to provide a more elementary route. Many chapters contain material typically found in specialised texts, never before published in a single source. This is one of the few works to combine both the geometric parts of Riemannian geometry and the analytic aspects of the theory, while also presenting the most up-to-date research - including sections on convergence and compactness of families of manifolds. Thus, this book will appeal to readers with a knowledge of standard manifold theory, including such topics as tensors and Stokes theorem. Various exercises are scattered throughout the text, helping motivate readers to deepen their understanding of the subject.
Author : Takashi Sakai
Publisher : American Mathematical Soc.
ISBN 13 : 9780821889565
Total Pages : 378 pages
Book Rating : 4.8/5 (895 download)
Download or read book Riemannian Geometry written by Takashi Sakai and published by American Mathematical Soc.. This book was released on 1996-01-01 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is an English translation of Sakai's textbook on Riemannian Geometry which was originally written in Japanese and published in 1992. The author's intent behind the original book was to provide to advanced undergraduate and graudate students an introduction to modern Riemannian geometry that could also serve as a reference. The book begins with an explanation of the fundamental notion of Riemannian geometry. Special emphasis is placed on understandability and readability, to guide students who are new to this area. The remaining chapters deal with various topics in Riemannian geometry, with the main focus on comparison methods and their applications.
Author : Steen Markvorsen
Publisher : Birkhäuser
ISBN 13 : 3034880553
Total Pages : 96 pages
Book Rating : 4.0/5 (348 download)
Download or read book Global Riemannian Geometry: Curvature and Topology written by Steen Markvorsen and published by Birkhäuser. This book was released on 2012-12-06 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains a clear exposition of two contemporary topics in modern differential geometry: distance geometric analysis on manifolds, in particular, comparison theory for distance functions in spaces which have well defined bounds on their curvature the application of the Lichnerowicz formula for Dirac operators to the study of Gromov's invariants to measure the K-theoretic size of a Riemannian manifold. It is intended for both graduate students and researchers.
Author : Isaac Chavel
Publisher :
ISBN 13 :
Total Pages : 118 pages
Book Rating : 4.:/5 (319 download)
Download or read book Topics in Riemannian Geometry I written by Isaac Chavel and published by . This book was released on 1978 with total page 118 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : D. Bao
Publisher : Springer Science & Business Media
ISBN 13 : 1461212685
Total Pages : 453 pages
Book Rating : 4.4/5 (612 download)
Download or read book An Introduction to Riemann-Finsler Geometry written by D. Bao and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on the elementary but essential problems in Riemann-Finsler Geometry, which include a repertoire of rigidity and comparison theorems, and an array of explicit examples, illustrating many phenomena which admit only Finslerian interpretations. "This book offers the most modern treatment of the topic ..." EMS Newsletter.
Author : John M. Lee
Publisher : Springer
ISBN 13 : 3319917552
Total Pages : 437 pages
Book Rating : 4.3/5 (199 download)
Download or read book Introduction to Riemannian Manifolds written by John M. Lee and published by Springer. This book was released on 2019-01-02 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text focuses on developing an intimate acquaintance with the geometric meaning of curvature and thereby introduces and demonstrates all the main technical tools needed for a more advanced course on Riemannian manifolds. It covers proving the four most fundamental theorems relating curvature and topology: the Gauss-Bonnet Theorem, the Cartan-Hadamard Theorem, Bonnet’s Theorem, and a special case of the Cartan-Ambrose-Hicks Theorem.
Author : Shin-ichi Ohta
Publisher : Springer Nature
ISBN 13 : 3030806502
Total Pages : 324 pages
Book Rating : 4.0/5 (38 download)
Download or read book Comparison Finsler Geometry written by Shin-ichi Ohta and published by Springer Nature. This book was released on 2021-10-09 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph presents recent developments in comparison geometry and geometric analysis on Finsler manifolds. Generalizing the weighted Ricci curvature into the Finsler setting, the author systematically derives the fundamental geometric and analytic inequalities in the Finsler context. Relying only upon knowledge of differentiable manifolds, this treatment offers an accessible entry point to Finsler geometry for readers new to the area. Divided into three parts, the book begins by establishing the fundamentals of Finsler geometry, including Jacobi fields and curvature tensors, variation formulas for arc length, and some classical comparison theorems. Part II goes on to introduce the weighted Ricci curvature, nonlinear Laplacian, and nonlinear heat flow on Finsler manifolds. These tools allow the derivation of the Bochner–Weitzenböck formula and the corresponding Bochner inequality, gradient estimates, Bakry–Ledoux’s Gaussian isoperimetric inequality, and functional inequalities in the Finsler setting. Part III comprises advanced topics: a generalization of the classical Cheeger–Gromoll splitting theorem, the curvature-dimension condition, and the needle decomposition. Throughout, geometric descriptions illuminate the intuition behind the results, while exercises provide opportunities for active engagement. Comparison Finsler Geometry offers an ideal gateway to the study of Finsler manifolds for graduate students and researchers. Knowledge of differentiable manifold theory is assumed, along with the fundamentals of functional analysis. Familiarity with Riemannian geometry is not required, though readers with a background in the area will find their insights are readily transferrable.
Author : Jürgen Jost
Publisher : Springer Science & Business Media
ISBN 13 : 3662223856
Total Pages : 460 pages
Book Rating : 4.6/5 (622 download)
Download or read book Riemannian Geometry and Geometric Analysis written by Jürgen Jost and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: FROM REVIEWS OF THE FIRST EDITION "a very readable introduction to Riemannian geometry...it is most welcome...The book is made more interesting by the perspectives in various sections, where the author mentions the history and development of the material and provides the reader with references."-MATHEMATICAL REVIEWS
Author : John M. Lee
Publisher : Springer Science & Business Media
ISBN 13 : 0387227261
Total Pages : 232 pages
Book Rating : 4.3/5 (872 download)
Download or read book Riemannian Manifolds written by John M. Lee and published by Springer Science & Business Media. This book was released on 2006-04-06 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text focuses on developing an intimate acquaintance with the geometric meaning of curvature and thereby introduces and demonstrates all the main technical tools needed for a more advanced course on Riemannian manifolds. It covers proving the four most fundamental theorems relating curvature and topology: the Gauss-Bonnet Theorem, the Cartan-Hadamard Theorem, Bonnet’s Theorem, and a special case of the Cartan-Ambrose-Hicks Theorem.
Author : Ben Andrews
Publisher : Springer Science & Business Media
ISBN 13 : 3642162851
Total Pages : 306 pages
Book Rating : 4.6/5 (421 download)
Download or read book The Ricci Flow in Riemannian Geometry written by Ben Andrews and published by Springer Science & Business Media. This book was released on 2011 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on Hamilton's Ricci flow, beginning with a detailed discussion of the required aspects of differential geometry, progressing through existence and regularity theory, compactness theorems for Riemannian manifolds, and Perelman's noncollapsing results, and culminating in a detailed analysis of the evolution of curvature, where recent breakthroughs of Böhm and Wilking and Brendle and Schoen have led to a proof of the differentiable 1/4-pinching sphere theorem.
Author :
Publisher : Academic Press
ISBN 13 : 0080873278
Total Pages : 287 pages
Book Rating : 4.0/5 (88 download)
Download or read book Geometry of Manifolds written by and published by Academic Press. This book was released on 2011-08-29 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometry of Manifolds
