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Pseudolocality of Ricci Flow under Integral Bound of Curvature

Differential Geometry 2009-04-09 v4

Abstract

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.

Keywords

Cite

@article{arxiv.0903.2913,
  title  = {Pseudolocality of Ricci Flow under Integral Bound of Curvature},
  author = {Yuanqi Wang},
  journal= {arXiv preprint arXiv:0903.2913},
  year   = {2009}
}

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