Metrics of Positive Scalar Curvature and Generalised Morse Functions, Part I PDF Download

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Metrics of Positive Scalar Curvature and Generalised Morse Functions, Part I

Metrics of Positive Scalar Curvature and Generalised Morse Functions, Part I PDF Author: Mark P. Walsh
Publisher: American Mathematical Soc.
ISBN: 082185304X
Category : Mathematics
Languages : en
Pages : 105

Book Description
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. The author shows 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.
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