Maximum Principles and Geometric Applications [electronic resource] by Luis J. Alías, Paolo Mastrolia, Marco Rigoli.

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...

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Bibliographic Details
Uniform Title:Springer Monographs in Mathematics, 2196-9922
Main Authors: Alías, Luis J. (Author)
Mastrolia, Paolo (Author)
Rigoli, Marco (Author)
Corporate Author: SpringerLink (Online service)
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
Edition:1st ed. 2016.
Series:Springer Monographs in Mathematics,
Subjects:
Global analysis (Mathematics).
Manifolds (Mathematics).
Differential equations.
Geometry.
Online Access:
Springer Mathematics and Statistics eBooks 2016 English/International: 2016 (Springer Link)
Format: Electronic eBook
Contents:
  • 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.