"Metric geometry" is an approach to geometry based on the notion of length on a topological space. This approach experienced a very fast development in the last

Metric Affine Geometry focuses on linear algebra, which is the source for the axiom systems of all affine and projective geometries, both metric and nonmetric.

This text is an elementary introduction to differential geometry. Although it was written for a graduate-level audience, the only requisite is a solid back grou

Aimed toward graduate students and research mathematicians, with minimal prerequisites this book provides a fresh take on Alexandrov geometry and explains the i

The purpose of this book is to describe the global properties of complete simply connected spaces that are non-positively curved in the sense of A. D. Alexandro