English

Ricci flow on three-dimensional manifolds with symmetry

Differential Geometry 2011-10-10 v3 Analysis of PDEs

Abstract

We describe the Ricci flow on two classes of compact three-dimensional manifolds: 1. Warped products with a circle fiber over a two-dimensional base. 2. Manifolds with a free local isometric U(1) x U(1) action.

Keywords

Cite

@article{arxiv.1102.4384,
  title  = {Ricci flow on three-dimensional manifolds with symmetry},
  author = {John Lott and Natasa Sesum},
  journal= {arXiv preprint arXiv:1102.4384},
  year   = {2011}
}

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final version