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

Released on by Mark P. Walsh
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  • Metrics of Positive Scalar Curvature and Generalised Morse Functions, Part I Book Detail

  • Author : Mark P. Walsh
  • Release Date : 2011
  • Publisher : American Mathematical Soc.
  • Genre : Mathematics
  • Pages : 105
  • ISBN 13 : 082185304X
  • File Size : 94,94 MB
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Metrics of Positive Scalar Curvature and Generalised Morse Functions, Part I by Mark P. Walsh PDF Summary

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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