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Global affine differential geometry of hypersurfaces /

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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Li, An-Min, 1946- (Autor), Simon, Udo, 1938- (Autor), Zhao, Guosong, 1950- (Autor), Hu, Zejun (Mathematician) (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin ; Boston : Walter de Gruyter GmbH & Co., KG, [2015]
Edición:2nd revised and extended edition.
Colección:De Gruyter expositions in mathematics ; 11.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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.