This book studies a new theory of metric geometry on metric measure spaces. The theory was originally developed by M. Gromov in his book Metric Structures for R

Contains lecture notes from most of the courses presented at the 50th anniversary edition of the Seminaire de Mathematiques Superieure in Montreal. This 2011 su

“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

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

This book includes four courses on geometric measure theory, the calculus of variations, partial differential equations, and differential geometry. Authored by