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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...
Taschenbuch von Jeff Cheeger (u. a.)
Sprache: Englisch

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Beschreibung
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.
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.
Inhaltsverzeichnis
Critical points of distance functions and applications to geometry.- Rigidity of lattices: An introduction.- Instanton invariants and algebraic surfaces.
Details
Erscheinungsjahr: 1991
Fachbereich: Geometrie
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Titelzusatz: 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
Inhalt: viii
200 S.
ISBN-13: 9783540550174
ISBN-10: 3540550178
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Cheeger, Jeff
Gromov, Mikhail
Okonek, Christian
Pansu, Pierre
Redaktion: Tricerri, Franco
Debartolomeis, Paolo
Herausgeber: Paolo DeBartolomeis/Franco Tricerri
Hersteller: Springer Berlin
Springer Berlin Heidelberg
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 12 mm
Von/Mit: Jeff Cheeger (u. a.)
Erscheinungsdatum: 13.12.1991
Gewicht: 0,324 kg
Artikel-ID: 102135672
Inhaltsverzeichnis
Critical points of distance functions and applications to geometry.- Rigidity of lattices: An introduction.- Instanton invariants and algebraic surfaces.
Details
Erscheinungsjahr: 1991
Fachbereich: Geometrie
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Titelzusatz: 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
Inhalt: viii
200 S.
ISBN-13: 9783540550174
ISBN-10: 3540550178
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Cheeger, Jeff
Gromov, Mikhail
Okonek, Christian
Pansu, Pierre
Redaktion: Tricerri, Franco
Debartolomeis, Paolo
Herausgeber: Paolo DeBartolomeis/Franco Tricerri
Hersteller: Springer Berlin
Springer Berlin Heidelberg
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 12 mm
Von/Mit: Jeff Cheeger (u. a.)
Erscheinungsdatum: 13.12.1991
Gewicht: 0,324 kg
Artikel-ID: 102135672
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