Description

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. Introduction (S.S. Chern). 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 (Ü. Lumiste). Sphere theorems (K. Shiohama). Affine differential geometry (U. Simon). A survey on isoparametric hypersurfaces and their generalizations (G. Thorbergsson). Curves (T. Willmore). Author Index. Subject Index.

Details

No. of pages:
1053
Language:
English
Copyright:
© 2000
Published:
Imprint:
North Holland
eBook ISBN:
9780080532837
Print ISBN:
9780444822406
Print ISBN:
9780444552099

About the editors

L.C.A. Verstraelen

Affiliations and Expertise

Katholieke Universiteit Leuven, Departement Wiskunde, Leuven, Belgium