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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 - Couverture souple

Cheeger, Jeff; Gromov, Mikhail; Okonek, Christian; Pansu, Pierre

 
9783540550174: 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
Couverture souple
ISBN 10 : 3540550178 ISBN 13 : 9783540550174
Editeur : Springer, 2009

Synopsis

Geometric Topology can be defined to be the investigation ofglobal properties of a further structure (e.g.differentiable, Riemannian, complex,algebraic etc.) one canimpose on a topological manifold. At the C.I.M.E. session inMontecatini, in 1990, three courses of lectures were givenonrecent developments in this subject which is nowadaysemerging as one of themost fascinating and promising fieldsof contemporary mathematics. The notesof these courses arecollected in this volume and can be described as: 1) thegeometry and the rigidity of discrete subgroups in Liegroups especially in the case of lattices in semi-simplegroups; 2) the study of the critical points of the distancefunction and its appication to the understanding of thetopology of Riemannian manifolds; 3) the theory of modulispace of instantons as a tool for studying the geometry oflow-dimensional manifolds.CONTENTS: J. Cheeger: Critical Points of Distance Functionsand Applications to Geometry.- M. Gromov, P. Pansu, Rigidityof Lattices: An Introduction.- Chr. Okonek: InstantonInvariants and Algebraic Surfaces.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

À propos de la quatrième de couverture

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.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer
Date d'édition
2009
Langue
anglais
ISBN 10 
3540550178
ISBN 13 
9783540550174
Reliure
Broché
Nombre de pages
204
Éditeur
Debartolomeis Paolo
Coordonnées du fabricant
non disponible
Personne responsable
non disponible