Handbook of Differential Geometry, Volume 1

by ;
Format: Hardcover
Pub. Date: 1999-12-16
Publisher(s): Elsevier Science
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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
Differential geometry of webs
M.A. Akivis
V.V. Goldberg
Spaces of metrics and curvature functionals
D.E. Blair
Riemannian submanifolds
B.-Y. Chen
Einstein metrics in dimension four
A. Derdzinski
The Atiyah--Singer index theorem
P.B. Gilkey
Survey of isospectral manifolds
C.S. Gordon
Submanifolds with parallel fundamental form
U. Lumiste
Sphere theorems
K. Shiohama
Affine differential geometry
U. Simon
A survey on isoparametric hypersurfaces and their generalizations
G. Thorbergsson
T. Willmore
Author Index 1025(12)
Subject Index 1037

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