Handbook of Differential Geometry, Volume 1

Author： Dillen   F. J. E.;Verstraelen   L. C. A.  

Publisher： Elsevier Science‎

Publication year： 1999

E-ISBN: 9780080532837

P-ISBN(Paperback): 9780444822406

P-ISBN(Hardback):  9780444822406

Subject： O175.2 Partial Differential Equations;O18 geometric topology

Language： ENG

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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.

Chapter

Cover

pp.：  1 – 12

Preface

pp.：  6 – 8

Introduction

pp.：  8 – 10

List of Contributors

pp.：  10 – 14

TOC$Contents

pp.：  12 – 6

CH$Chapter 1. Differential geometry of webs

pp.：  14 – 166

CH$Chapter 2. Spaces of metrics and curvature functionals

pp.：  166 – 200

CH$Chapter 3. Riemannian submanifolds

pp.：  200 – 432

CH$Chapter 4. Einstein metrics in dimension four

pp.：  432 – 722

CH$Chapter 5. The Atiyah–Singer index theorem

pp.：  722 – 760

CH$Chapter 6. Survey of isospectral manifolds

pp.：  760 – 792

CH$Chapter 7. Submanifolds with parallel fundamental form

pp.：  792 – 878

CH$Chapter 8. Sphere theorems

pp.：  878 – 918

CH$Chapter 9. Affine differential geometry

pp.：  918 – 976

CH$Chapter 10. A survey on isoparametric hypersurfaces and their generalizations

pp.：  976 – 1010

CH$Chapter 11. Curves

pp.：  1010 – 1038

IDX$Index

pp.：  1038 – 1068

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