Global affine differential geometry of hypersurfaces / An-Min Li, Udo Simon, Guosong Zhao, and Zejun Hu.
This book draws a colorful and widespread picture of global affine hypersurface theory up to the most recent state. Moreover, the recent development revealed that affine differential geometry- as differential geometry in general- has an exciting intersection area with other fields of interest, like...
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| Online Access: |
Full Text (via ProQuest) |
|---|---|
| Main Authors: | , , , |
| Format: | eBook |
| Language: | English |
| Published: |
Berlin ; Boston :
Walter de Gruyter GmbH & Co., KG,
[2015]
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| Edition: | 2nd revised and extended edition. |
| Series: | De Gruyter expositions in mathematics ;
11. |
| Subjects: |
Table of Contents:
- Introduction
- 1. Preliminaries and basic structural aspects
- 2. Local equiaffine hypersurface theory
- 3. Affine hyperspheres
- 4. Rigidity and uniqueness theorems
- 5. Variational problems and affine maximal surfaces
- 6. Hypersurfaces with constant affine Gauß-Kronecker curvature
- 7. Geometric inequalities
- A. Basic concepts from differential geometry
- B. Laplacian comparison theorem.