Metric Structures for Riemannian and Non-Riemannian Spaces

by Mikhail Gromov

This book is an English translation of the famous "Green Book" by Lafontaine and Pansu (1979). It has been enriched and expanded with new material to reflect recent progress. Additionally, four appendices, by Gromov on Levy's inequality, by Pansu on "quasiconvex" domains, by Katz on systoles of Riemannian manifolds, and by Semmes overviewing analysis on metric spaces with measures, as well as an extensive bibliography and index round out this unique and beautiful book.

606 pages, Paperback

First published December 22, 2006

Reviews

[Colin Hinde · Rating 4 out of 5]

Seminal. This book is like no other math book; it leaves a lot to the reader.