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Metrics of Positive Scalar Curvature and Generalised Morse Functions, Part I
Mark P. Walsh
出版
American Mathematical Soc.
, 2011
主題
Mathematics / Calculus
Mathematics / Geometry / General
Mathematics / Geometry / Differential
Mathematics / Topology
ISBN
082185304X
9780821853047
URL
http://books.google.com.hk/books?id=gVO_AwAAQBAJ&hl=&source=gbs_api
EBook
SAMPLE
註釋
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.