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Metric Structures for Riemannian and Non-Riemannian Spaces (Paperback, 1st ed. 1999. Corr. 2nd printing 2001. 3rd printing... 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 …
R3,889 Discovery Miles 38 890 Ships in 10 - 15 working days

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.

Geometric Topology: Recent Developments - Lectures given on the 1st Session of the Centro Internazionale Matematico Estivo... Geometric Topology: Recent Developments - Lectures given on the 1st Session of the Centro Internazionale Matematico Estivo (C.I.M.E.) held at Monteca- tini Terme, Italy, June 4-12, 1990 (Paperback, 1991 ed.)
Jeff Cheeger; Edited by Paolo de Bartolomeis; Mikhail Gromov; Edited by Franco Tricerri; Christian Okonek, …
R1,192 Discovery Miles 11 920 Ships in 10 - 15 working days

Geometric Topology can be defined to be the investigation of global properties of a further structure (e.g. differentiable, Riemannian, complex, algebraic etc.) one can impose on a topological manifold. At the C.I.M.E. session in Montecatini, in 1990, three courses of lectures were given onrecent developments in this subject which is nowadays emerging as one of themost fascinating and promising fields of contemporary mathematics. The notesof these courses are collected in this volume and can be described as: 1) the geometry and the rigidity of discrete subgroups in Lie groups especially in the case of lattices in semi-simple groups; 2) the study of the critical points of the distance function and its appication to the understanding of the topology of Riemannian manifolds; 3) the theory of moduli space of instantons as a tool for studying the geometry of low-dimensional manifolds. CONTENTS: J. Cheeger: Critical Points of Distance Functions and Applications to Geometry.- M. Gromov, P. Pansu, Rigidity of Lattices: An Introduction.- Chr. Okonek: Instanton Invariants and Algebraic Surfaces.

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