Riemannian geometry
Author(s)
Bibliographic Information
Riemannian geometry
（Translations of mathematical monographs, v. 149）
American Mathematical Society, c1996
- Other Title
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リーマン幾何学
Rīman kikagaku
Available at / 53 libraries
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
616.373/SA292070373068
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Note
Originally published: Tokyo : Shokabo Pub., 1992
Includes bibliographical references (p. 339-352) and index
Description and Table of Contents
Description
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 graduate 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. The author has faithfully translated the Japanese edition with the exception of appendix 6-on the collapsing of Riemannian manifolds and Gromov's convergence theorem - which has been considerably revised and expanded, including the addition of a few comments on further developments and corrections of small errors.
Table of Contents
Preliminaries from manifolds Fundamental concepts in Riemannian geometry Global concepts in Riemannian geometry Comparison theorems and applications Curvature and topology of Riemannian manifolds Isoperimetric inequality and spectral geometry Appendices Hints and solutions to problems and exercises Bibliography Index.
by "Nielsen BookData"
