2005/01/01 by Stefano Pigola, Marco Rigoli, Alberto G. Setti · 3 citations
Mathematics · #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations #Geometry and complex manifolds #Mathematics #Pure mathematics #Riemannian geometry #Ricci-flat manifold #Mathematical analysis #Geometry #Scalar curvature
paper · doi:10.1090/memo/0822
openalex publication_date 2005/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/02
The aim of the paper is to introduce the reader to various forms of the maximum principle, starting from its classical formulation up to generalizations of the Omori-Yau maximum principle at infinity recently obtained by the authors. Applications are given to a number of geometrical problems in the setting of complete Riemannian manifolds, under assumptions either on the curvature or on the volume growth of geodesic balls