A description of the global properties of simply-connected spaces that are non-positively curved in the sense of A. D. Alexandrov, and the structure of groups w

This volume presents a complete and self-contained description of new results in the theory of manifolds of nonpositive curvature. It is based on lectures deliv

Singular spaces with upper curvature bounds and, in particular, spaces of nonpositive curvature, have been of interest in many fields, including geometric (and

The book is devoted to the theory of gradient flows in the general framework of metric spaces, and in the more specific setting of the space of probability meas