Metric Structures for Riemannian and Non-Riemannian Spaces
Publication year: 2007
: 978-0-8176-4583-0
The first stages of the new developments were presented in Gromov's course in Paris, which turned into the famous "Green Book" by Lafontaine and Pansu (1979). The present English translation of that work 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.
: Mathematics and Statistics, Algebraic topology, Homotopy, Mathematics, Probability theory, Riemannian geometry, Structures, Systole, Volume, curvature, diff.geometry, differential equation, homotopy theory, manifold, manifolds, minimum
