Pseudolocality of Ricci Flow under Integral Bound of Curvature

Details Pseudolocality of Ricci Flow under Integral Bound of Curvature Pseudolocality of Ricci Flow under Integral Bound of Curvature

2009-03-17

arxiv.org/abs/0903.2913v4

Mathematics

Differential Geometry

Some change on arrangement

Scientific paper

We prove a pseudolocality type theorem for compact Ricci Flow under local
integral bounds of curvature. The main tool is Local Ricci Flow introduced by
Deane Yang in [4] and Pseudolocality Theorem of Perelman in [3]. We also study
L^p bounds for the derivatives of curvature and smooth extension of Local Ricci
Flow.

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