UID:
edocfu_9958353935002883
Format:
1 online resource(ix, 367 p.) :
,
illustrations.
Edition:
2nd revised and extended edition
Edition:
Electronic reproduction. Berlin/Boston : De Gruyter, 2015. Mode of access: World Wide Web.
Edition:
System requirements: Web browser.
Edition:
Access may be restricted to users at subscribing institutions.
ISBN:
9783110268898
Series Statement:
De Gruyter Expositions in Mathematics ; 11
Content:
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 partial differential equations, global analysis, convex geometry and Riemann surfaces.
Note:
Frontmatter --
,
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 --
,
Bibliography --
,
Index --
,
Backmatter.
,
Also available in print edition.
,
In English.
Additional Edition:
ISBN 9783110266672
Additional Edition:
ISBN 9783110268904
Language:
English
DOI:
10.1515/9783110268898
URL:
https://doi.org/10.1515/9783110268898
