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Metric Structures for Riemannian and Non-Riemannian Spaces (Paperback, 1st ed. 1999. Corr. 2nd printing 2001. 3rd printing 2006)

Jacques Lafontaine; Appendix by M. Katz; Mikhail Gromov; Translated by S.M. Bates; Appendix by Pierre Pansu; Edited by …

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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.