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Ricci flow and contractibility of spaces of metrics

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arxiv 1909.08710 v1 pith:N6BYQVPC submitted 2019-09-18 math.DG math.APmath.GT

Ricci flow and contractibility of spaces of metrics

Richard H. Bamler , Bruce Kleiner This is my paper
classification math.DG math.APmath.GT
keywords casegroupmetricsspaceargumentconjecturecontractibilitycontractible
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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.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

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