This book focuses on a selection of special topics, with emphasis on past and present research of the authors on “canonical” Riemannian metrics on smooth ma

This book introduces readers to the living topics of Riemannian Geometry and details the main results known to date. The results are stated without detailed pro

This is the third version of a book on differential manifolds. The first version appeared in 1962, and was written at the very beginning of a period of great ex

A warped product manifold is a Riemannian or pseudo-Riemannian manifold whose metric tensor can be decomposed into a Cartesian product of the y geometry and the