Metrics Of Positive Scalar Curvature And Generalised Morse Functions Part I

Download or read book Metrics of Positive Scalar Curvature and Generalised Morse Functions, Part I written by Mark P. Walsh and published by American Mathematical Soc.. This book was released on 2011 with total page 105 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.