Riemannian Geometry of Contact and Symplectic Manifolds, 2 Edition

Second Edition features new material in most chapters, but particularly in Chapters 3, 7, and 12 Covers major new topics, such as a complex geodesic flow and the accompanying geometry of the projectivized holomorphic tangent bundle Features improvements and general corrections based off of the first edition throughout the text Intended for a broad audience of mathematicians, researchers and students in Riemannian geometry

Maximum Principles On Riemannian Manifolds And Applications

The aim of this 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.