On 4-dimensional gradient shrinking solitons

Details On 4-dimensional gradient shrinking solitons On 4-dimensional gradient shrinking solitons

2007-10-16

arxiv.org/abs/0710.3195v1

Mathematics

Differential Geometry

Scientific paper

In this paper we classify the four dimensional gradient shrinking solitons
under certain curvature conditions satisfied by all solitons arising from
finite time singularities of Ricci flow on compact four manifolds with positive
isotropic curvature. As a corollary we generalize a result of Perelman on three
dimensional gradient shrinking solitons to dimension four.

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