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Lectures on differential geometry
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This translation aims at preserving, as far as possible, both the contents and style of Professor Chern’s lectures, the hallmarks of which are simplicity, directness, and economy of approach together with in-depth treatments of fundamental topics. It should be suitable as a text or a work of reference for a wide audience, including (but not limited to) advanced undergraduate and beginning graduate students in mathematics, as well as physicists interested in the diverse applications of differential geometry to physics. Our hope is that the material in this text will provide a solid and comprehensive background for more advanced and specialized studies.
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Lectures
on
Differential
Geometry
SERIES
ON
UNIVERSITY
MATHEMATICS
Editors:
W
Y
Hsiang
T
T Moh
:
Department of Mathematics, University of California, Berkeley,
CA 94720, USA
:
Department of Mathematics, Purdue University, W. Lafayette
IN 47907, USA
e-mail: ttmQmath.purdue.edu
:
Department of Mathematics, Peking University, Beijing, China
Taiwan, China
Osaka 560, Japan
Fax:
31
7-494-631
8
S
S
Ding
M C Kang
:
Department of Mathematics, National Taiwan University,
M Miyanishi
:
Department of Mathematics, Osaka University, Toyonaka,
Published
Vol.
1
:
Lectures on Differential Geometry
S
S
Chern, W H Chen and
K
S
Lam
Vol.
5:
Algebra
T
T
Moh
Vol.
6:
A Concise Introduction
to
Calculus
W
Y
Hsiang
Vol.
7:
Number Theory with Applications
W
C
Winnie
Li
Vol. 8: Analytical Geometry
I
Vaisman
Forthcoming
Vol.
2:
Lectures
on
Lie
Group
W
Y
Hsiang
Vol.
3:
Classical Geometries
W Y
Hsiang
Vol.
4:
Foundation of Linear Algebra
W
Y
Hsiang
&
T
T
Moh
Lectures
on
Differential
Geome
trv
J
S.
S.
Chern
W.
H.
Chen
University
of
California,
USA
Peking University, China
K.
S.
Lam
California
State
Polytechnic University,
Pomona,
USA
World
Scientific
Singapore New Jersey. London Hong Kong
Published by
World Scientific Publishing Co. Pte. Ltd.
P
0
Box
128, Farrer Road, Singapore 912805
LISA
ofice:
Suite
IB,
1060 Main Street, River Edge, NJ 07661
UK
ofice:
57
Shelton Street, Covent Garden, London WC2H 9HE
Library
of
Congress Cataloging-in-Publication Data
Chern, Shiing-Shen, 191
1-
[Wei Fen chi ho chiang 1. English]
Lectures on differential geometry
/
S.S.
Chern, W.H. Chen,
K.S.
Lam.
p. cm.
ISBN 9810234945 ISBN 9810241828 (pbk)
1.
Geometry, Differential.
I.
Chen, Wei-hum 11.
Lam,
K.
S.
(Kai Shue), 1949-
.
111. Title.
QA641.C4913 1998
51
6.3'6--dc21 98-2203
I
CIP
British Library Cataloguing-in-Publication Data
A catalogue record
for
this book is available from the British Library
First published 1999
Reprinted
2000
Copyright
0
2000 by World Scientific Publishing Co. Pte. Ltd.
All
rights reserved. This book, or parts thereoJ may not be reproduced in any form or by any means,
electronic or mechanical, including photocopying, recording or any information storage and retrieval
system now known
or
to
be invented, without written permission from the Publisher.
For photocopying
of
material in this volume, please pay
a
copying fee through the Copyright
Clearance Center, Inc., 222 Rosewood Drive, Danvers,
MA
01923,
USA.
In this case permission to
photocopy is not required from the publisher.
This book is printed on acid and chlorine free paper.
Printed in Singapore by World Scientific Printers
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