Metrics of positive scalar curvature and generalised Morse functions, part 1
Differential Geometry
2008-11-11 v1 Algebraic Topology
Abstract
It is well known that isotopic metrics of positive scalar curvature are concordant. Whether or not the converse holds is an open question, at least in dimensions greater than four. We show that for a particular type of concordance, constructed using the surgery techniques of Gromov and Lawson, this converse holds in the case of closed simply connected manifolds of dimension at least five.
Keywords
Cite
@article{arxiv.0811.1245,
title = {Metrics of positive scalar curvature and generalised Morse functions, part 1},
author = {Mark Walsh},
journal= {arXiv preprint arXiv:0811.1245},
year = {2008}
}
Comments
81 pages, 61 figures