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Ricci flow and contractibility of spaces of metrics
- Publication Year :
- 2019
-
Abstract
- We show that the space of metrics of positive scalar curvature on any 3-manifold is either empty or contractible. Second, we show that the diffeomorphism group of every 3-dimensional spherical space form deformation retracts to its isometry group. This proves the Generalized Smale Conjecture. Our argument is independent of Hatcher's theorem in the $S^3$ case and in particular it gives a new proof of the $S^3$ case.<br />Comment: 111 pages
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1909.08710
- Document Type :
- Working Paper