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Manifolds of positive scalar curvature

Abstract

This lecture gives an survey on the problem of finding a positive scalar curvature metric on a closed manifold. The Gromov-Lawson-Rosenberg conjecture and its relation to the Baum-Connes conjecture are discussed and the problem of finding a positive Ricci curvature metric on a closed manifold is explained.
Authors:
Stolz, S [1] 
  1. Department of Mathematics, University of Notre Dame, Notre Dame (United States)
Publication Date:
Aug 15, 2002
Product Type:
Conference
Report Number:
INIS-XA-854; LNS-029011
Resource Relation:
Conference: School on high-dimensional manifold topology, Trieste (Italy), 21 May - 8 Jun 2001; Other Information: 42 refs; Related Information: In: Topology of high-dimensional manifolds, ICTP lecture notes CD seriesv. 9, by Farrell, F.T. [State University of New York, Binghamton (United States)]; Goettshe, L. [Abdus Salam ICTP, Trieste (Italy)]; Lueck, W. [Westfaelische Wilhelms-Universitaet Muenster, Muenster (Germany)] (eds.), 712 pages.
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; LECTURES; MANY-DIMENSIONAL CALCULATIONS; MATHEMATICAL MANIFOLDS; METRICS; RICCI TENSOR; TOPOLOGY
OSTI ID:
20901509
Research Organizations:
Abdus Salam International Centre for Theoretical Physics, Trieste (Italy)
Country of Origin:
IAEA
Language:
English
Other Identifying Numbers:
Other: ISBN 92-95003-12-8; TRN: XA0600647063755
Availability:
Available from INIS in electronic form; Also available online: http://www.ictp.it
Submitting Site:
INIS
Size:
page(s) 663-709
Announcement Date:
Aug 30, 2007

Citation Formats

Stolz, S. Manifolds of positive scalar curvature. IAEA: N. p., 2002. Web.
Stolz, S. Manifolds of positive scalar curvature. IAEA.
Stolz, S. 2002. "Manifolds of positive scalar curvature." IAEA.
@misc{etde_20901509,
title = {Manifolds of positive scalar curvature}
author = {Stolz, S}
abstractNote = {This lecture gives an survey on the problem of finding a positive scalar curvature metric on a closed manifold. The Gromov-Lawson-Rosenberg conjecture and its relation to the Baum-Connes conjecture are discussed and the problem of finding a positive Ricci curvature metric on a closed manifold is explained.}
place = {IAEA}
year = {2002}
month = {Aug}
}