Handbook of Differential Geometry, Volume 1

1st Edition

Editors: F.J.E. Dillen L.C.A. Verstraelen
Hardcover ISBN: 9780444822406
eBook ISBN: 9780080532837
Imprint: North Holland
Published Date: 16th December 1999
Page Count: 1053
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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. 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.


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© North Holland 2000
North Holland
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About the Editor

F.J.E. Dillen

L.C.A. Verstraelen

Affiliations and Expertise

Katholieke Universiteit Leuven, Departement Wiskunde, Leuven, Belgium