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Edited By F.J.E. Dillen L.C.A. Verstraelen, Katholieke Universiteit Leuven, Departement Wiskunde, Leuven, Belgium
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.
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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