没有合适的资源?快使用搜索试试~ 我知道了~
Aubin-A Course in Differential Geometry
需积分: 13 15 下载量 5 浏览量
2014-07-06
04:01:36
上传
评论
收藏 6.72MB PDF 举报
温馨提示
试读
198页
Aubin-A Course in Differential Geometry
资源推荐
资源详情
资源评论
A Course in
Differential
Geometry
Thierry Aubin
Graduate Studies
in Mathematics
Volume 27
American Mathematical Society
Selected Titles in This Series
27 Thierry Aubin, A course in differential geometry, 2001
26 Rolf Berndt, An introduction to symplectie geometry, 2001
25 Thomas } iedrich, Dirac operators in Riemannian geometry, 2000
24 Helmut Koch, Number theory: Algebraic numbers and functions, 2000
23 Alberta Candel and Lawrence Conlon, Foliation I. 2000
22 Gfinter R. Krouse and Thomas H. Lenagan, Growth of algebras and Gelfand-Klrillov
dimension, 2000
21 John B. Conway, A course In operator theory, 2000
20 Robert E. Gompf and Andrda I. Stlpsics, 4-manifolds and Kirby calculus, 1999
19 Lawrence C. Evans, Partial differential equations, 1998
18 Winfried Just and Martin Weese, Discovering modern set theory. IT: Set-theoretic
tools for every mathematician, 1997
17 Henryk Iwanlec, Tbpies in classical automorphic forms, 1997
16 Richard V. Kadison and John R. Ringrose, Fundamentals of the theory of operator
algebras. Volume 11: Advanced theory, 1997
15 Richard V. Kadison and John R. Ringrose, Fundamentals of the theory of operator
algebras. Volume I: I oentary theory, 1997
14 Elliott H. Lieb and Michael Loss, Analysis, 1997
13 Paul C. Shields, The ergodic theory of discrete sample paths, 1996
12 N. V. Krylov, Lectures on elliptic and parabolic equations in Holder spaces, 1996
11 Jacques Dhunier, Enveloping algebras, 1996 Printing
10 Barry Simon, Representations of finite and compact groups, 1996
9 Dino Lorenalni, An invitation to arithmetic geometry, 1996
8 Winliried Just and Martin Weese, Discovering modern set theory. 1: The basics, 1996
7 Gerald J. Janusz, Algebraic number fields, second edition, 1996
6 Jens Carsten Jantzen, Lectures on quantum groups, 1996
5 Ride Miranda, Algebraic carves and Rlernann surfaces, 1995
4 Russell A. Gordon, The Integrals of Lebesgue, Denjoy, Perron, and Henstock, 1994
3 WIlliam W. Adams and Philippe Loustaunau, An introduction to Grdbner bases,
1994
2 Jack Graver, Brigitte Servatius, and Herman Servatius, Combinatorial rigidity,
1993
1 Ethan Akin, The general topology of dynamical systems, 1993
A Course in
Differential
Geometry
Thierry Aubin
Graduate Studies
in Mathematics
Volume 27
Editorial Board
James Humphreys (Chair)
David Saitman
David Sattinger
Ronald Stern
2000 Mathematics Subject Clamfiication. Primary 53B05, 53C05, 53C22, 53C40, 58A17,
580.05, 58C25, 58C35, 58305.
Assmc-r. This book provides an introduction to differential geometry, with prinicpal emphasis
on Riemannian geometry . It covers the essentials, concluding with a chapter on the Yamaha
problem, which shows what research in the Said looks like. It is a textbook, at a level which is
accessible to graduate students. Its aim is to facilitate the study and the teaching of differential
geometry. It is teachable on a chapter-by-chapter basis. Mary problems and a number of solutions
are included; most of them extend the course itself, which is confined to the main topics, such
as: differential manifolds, submanifolds, differential mappings, tangent vectors, differential forms,
orientation, manifolds with boundary, Lie derivative, integration of p-direction field, connection,
torsion, curvature, geodesics, covariant derivative, Riemannian manifolds, exponential mapping,
and spectrum.
Library of Congress Cataloging-In-Publication Data
Aubin, Thierry.
A course in differential geometry / Thierry Aubin.
p. cm. - (Graduate studies in mathematics, ISSN 1065-7339; v. 27)
Includes bibliographical references and index.
ISBN 0-8218-2709-X (alk. paper)
1. Geometry, Differential
I. retie.
II. Series.
QA641.A795 2000
516.3'6--dc21
00.068275
Copying and reprinting.
Individual readers of this publication, and nonprofit libraries
act lag for them, are permitted to make fair use of the material, such as to copy a chapter for use
in teaching or research. Permission is granted to quote brief passages from this publication in
reviews, provided the customary acknowledgment of the source is given.
Republication, systematic copying, or multiple reproduction of any material in this publication
is permitted only under license from the American Mathematical Society.
Requests for such
permission should be addressed to the Assistant to the Publisher, American Mathematical Society,
P.O. Box 6248, Providence, Rhode Island 02910.6248. Requests can also be made by e-mail to
reprint-porsissionSaas.org.
© 2001 by the American Mathematical Society. AU rights reserved.
The American Mathematical Society retains all rights
except those granted to the United States Government.
Printed in the United States of America.
® The paper used in this book is add-free and falls within the guidelines
established to ensure permanence and durability.
Visit the AMS home page at URL: http;//vsv.ara.org/
10987654321 060504030201
剩余197页未读,继续阅读
资源评论
qq_17293567
- 粉丝: 0
- 资源: 1
上传资源 快速赚钱
- 我的内容管理 展开
- 我的资源 快来上传第一个资源
- 我的收益 登录查看自己的收益
- 我的积分 登录查看自己的积分
- 我的C币 登录后查看C币余额
- 我的收藏
- 我的下载
- 下载帮助
安全验证
文档复制为VIP权益,开通VIP直接复制
信息提交成功