Metrics of positive scalar curvature and generalised Morse functions
Author(s)
Bibliographic Information
Metrics of positive scalar curvature and generalised Morse functions
（Memoirs of the American Mathematical Society, no. 983）
American Mathematical Society, c2010
- pt. 1
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Note
"Volume 209, number 983 (second of 5 numbers)."
Includes bibliographical references
Description and Table of Contents
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. This 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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