Providing an up-to-date overview of the geometry of manifolds with non-negative sectional curvature, this volume gives a detailed account of the most recent res

Starting from the foundations, the author presents an almost entirely self-contained treatment of differentiable spaces of nonpositive curvature, focusing on th

This is an up to date work on a branch of Riemannian geometry called Comparison Geometry.

Geometry of Manifolds

Comparison Theorems in Riemannian Geometry