Handbook of differential geometry, Volume 1
In the series of volumes which together will constitute the <IT>Handbook of Differential Geometry</IT> 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...
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Format: | eBook |
Language: | English |
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Amsterdam
Elsevier
2000, 2000
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Edition: | 1st ed |
Series: | Handbook of differential geometry
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Collection: | Elsevier eBook collection Mathematics - Collection details see MPG.ReNa |
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
- Includes bibliographical references and indexes