Comparison Theorems In Riemannian Geometry
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Comparison Theorems In Riemannian Geometry
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Author : Jeff Cheeger
language : en
Publisher: Newnes
Release Date : 1975
Comparison Theorems In Riemannian Geometry written by Jeff Cheeger and has been published by Newnes this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with Mathematics categories.
Comparison Theorems In Riemannian Geometry
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Author : Jeff Cheeger
language : en
Publisher:
Release Date : 1975
Comparison Theorems In Riemannian Geometry written by Jeff Cheeger and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with categories.
Comparison Theorems In Riemannian Geometry
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Author : Jeff Cheeger
language : en
Publisher: Newnes
Release Date : 2009-01-15
Comparison Theorems In Riemannian Geometry written by Jeff Cheeger and has been published by Newnes this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-01-15 with Computers categories.
Comparison Theorems in Riemannian Geometry
Comparison Theorems In Riemannian Geometry
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Author : Jost-Hinrich Eschenburg
language : en
Publisher:
Release Date : 1994
Comparison Theorems In Riemannian Geometry written by Jost-Hinrich Eschenburg and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Geometry, Riemannian categories.
Riemannian Geometry
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Author : Takashi Sakai
language : en
Publisher: American Mathematical Soc.
Release Date : 1996-01-01
Riemannian Geometry written by Takashi Sakai and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-01-01 with Mathematics categories.
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.
Riemannian Geometry
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Author : Peter Petersen
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-11-24
Riemannian Geometry written by Peter Petersen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-24 with Mathematics categories.
This volume introduces techniques and theorems of Riemannian geometry, and opens the way to advanced topics. The text combines the geometric parts of Riemannian geometry with analytic aspects of the theory, and reviews recent research. The updated second edition includes a new coordinate-free formula that is easily remembered (the Koszul formula in disguise); an expanded number of coordinate calculations of connection and curvature; general fomulas for curvature on Lie Groups and submersions; variational calculus integrated into the text, allowing for an early treatment of the Sphere theorem using a forgotten proof by Berger; recent results regarding manifolds with positive curvature.
Comparison Geometry
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Author : Karsten Grove
language : en
Publisher: Cambridge University Press
Release Date : 1997-05-13
Comparison Geometry written by Karsten Grove and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-05-13 with Mathematics categories.
This is an up to date work on a branch of Riemannian geometry called Comparison Geometry.
Comparison Theorems In Riemannian Geometry
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Author : Jeff Cheeger
language : en
Publisher:
Release Date : 1975
Comparison Theorems In Riemannian Geometry written by Jeff Cheeger and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with categories.
Riemannian Geometry
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Author : Isaac Chavel
language : en
Publisher: Cambridge University Press
Release Date : 1995-01-27
Riemannian Geometry written by Isaac Chavel and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-01-27 with Mathematics categories.
This book provides an introduction to Riemannian geometry, the geometry of curved spaces. Its main theme is the effect of the curvature of these spaces on the usual notions of geometry, angles, lengths, areas, and volumes, and those new notions and ideas motivated by curvature itself. Isoperimetric inequalities--the interplay of curvature with volume of sets and the areas of their boundaries--is reviewed along with other specialized classical topics. A number of completely new themes are created by curvature: they include local versus global geometric properties, that is, the interaction of microscopic behavior of the geometry with the macroscopic structure of the space. Also featured is an ambitious "Notes and Exercises" section for each chapter that will develop and enrich the reader's appetite and appreciation for the subject.
An Introduction To Riemann Finsler Geometry
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Author : D. Bao
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
An Introduction To Riemann Finsler Geometry written by D. Bao and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
In Riemannian geometry, measurements are made with both yardsticks and protractors. These tools are represented by a family of inner-products. In Riemann-Finsler geometry (or Finsler geometry for short), one is in principle equipped with only a family of Minkowski norms. So ardsticks are assigned but protractors are not. With such a limited tool kit, it is natural to wonder just how much geometry one can uncover and describe? It now appears that there is a reasonable answer. Finsler geometry encompasses a solid repertoire of rigidity and comparison theorems, most of them founded upon a fruitful analogue of the sectional curvature. There is also a bewildering array of explicit examples, illustrating many phenomena which admit only Finslerian interpretations. This book focuses on the elementary but essential items among these results. Much thought has gone into making the account a teachable one.