Handbook of Differential Geometry, Volume 1,9780444822406

Handbook of Differential Geometry, Volume 1

by ;
ISBN13: 9780444822406
ISBN10: 0444822402
Format: Hardcover
Pub. Date: 1999-12-16
Publisher(s): Elsevier Science
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Summary

In the series of volumes which together will constitute the Handbook of Differential Geometry a rather complete survey of the field of differential geometry is given. The different chapters will both deal with the basic material of differential geometry and with research results (old and recent). All chapters are written by experts in the area and contain a large bibliography.

Table of Contents

Preface v
Introduction vii
List of Contributors
ix
Differential geometry of webs
1(152)
M.A. Akivis
V.V. Goldberg
Spaces of metrics and curvature functionals
153(34)
D.E. Blair
Riemannian submanifolds
187(232)
B.-Y. Chen
Einstein metrics in dimension four
419(290)
A. Derdzinski
The Atiyah--Singer index theorem
709(38)
P.B. Gilkey
Survey of isospectral manifolds
747(32)
C.S. Gordon
Submanifolds with parallel fundamental form
779(86)
U. Lumiste
Sphere theorems
865(40)
K. Shiohama
Affine differential geometry
905(58)
U. Simon
A survey on isoparametric hypersurfaces and their generalizations
963(34)
G. Thorbergsson
Curves
997(28)
T. Willmore
Author Index 1025(12)
Subject Index 1037

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