Minimally invasive surgery for Ricci flow singularities

Details Minimally invasive surgery for Ricci flow singularities Minimally invasive surgery for Ricci flow singularities

2009-07-01

arxiv.org/abs/0907.0232v1

Mathematics

Differential Geometry

Scientific paper

In this paper, we construct smooth forward Ricci flow evolutions of singular
initial metrics resulting from rotationally symmetric neckpinches on S^(n+1),
without performing an intervening surgery. In the restrictive context of
rotational symmetry, this construction gives evidence in favor of Perelman's
hope for a "canonically defined Ricci flow through singularities".

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