Maximum Principles and Geometric Applications

This monograph presents an introduction to some geometric and analytic aspects of the maximum principle. In doing so, it analyses with great detail the mathematical tools and geometric foundations needed to develop the various new forms that are presented in the first chapters of the book. In partic...

Descripción completa

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Alías, Luis J. (Autor), Mastrolia, Paolo (Autor), Rigoli, Marco (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2016.
Edición:1st ed. 2016.
Colección:Springer Monographs in Mathematics,
Temas:
Global analysis (Mathematics).
Manifolds (Mathematics).
Differential equations.
Geometry.
Global Analysis and Analysis on Manifolds.
Differential Equations.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • A crash course in Riemannian geometry
  • The Omori-Yau maximum principle
  • New forms of the maximum principle
  • Sufficient conditions for the validity of the weak maximum principle
  • Miscellany results for submanifolds
  • Applications to hypersurfaces
  • Hypersurfaces in warped products
  • Applications to Ricci Solitons
  • Spacelike hypersurfaces in Lorentzian spacetimes.

Ejemplares similares