Global Affine Differential Geometry of Hypersurfaces / An-Min Li, Udo Simon, Guosong Zhao, Zejun Hu
Mitwirkende(r): Resource type: Ressourcentyp: Buch (Online)Buch (Online)Sprache: Englisch Reihen: De Gruyter eBook-Paket Mathematik | De Gruyter expositions in mathematics ; 11Verlag: Berlin/Boston : De Gruyter, 2015Copyright-Datum: ©2015Auflage: 2. rev. and extended edBeschreibung: Online-Ressource (X, 400 S.)ISBN:- 9783110390902
- 9783110268898
- Hyperfläche
- Affine Differentialgeometrie
- Globale Differentialgeometrie
- Global differential geometry
- Hypersurfaces
- MATHEMATICS / Geometry / Differential
- Hypersurface
- MATHEMATICS / Differential Equations / General
- MATHEMATICS / Geometry / Non-Euclidean
- MATHEMATICS / Mathematical Analysis
- Affine differential geometry
- 516.3/62 23
- 516.4 23
- 709 23
- 510
- QA670
Inhalte:
Zusammenfassung: 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.Original version: Originalfassung: 2015PPN: PPN: 165858239XPackage identifier: Produktsigel: ZDB-23-EXM | EBA-BACKALL | EBA-CL-MTPY | EBA-DGALL | EBA-EBACKALL | EBA-EBKALL | EBA-ECL-MTPY | EBA-EEBKALL | EBA-ESTMALL | EBA-STMALL | GBV-23-DGG-HSU | ZDB-23-DMA | GBV-deGruyter-alles | ZDB-23-DGG | BSZ-23-EBA-C1UB | EBA-EBKALL2 | EBA-EXCL | EBA-EEBKALL2 | EBA-ESTMALL2 | EBA-STMALL2
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.
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Reproduktion, 2015 |2015||||||||||
2015
Mode of access: Internet via World Wide Web.
In English