English

Ricci flow of negatively curved incomplete surfaces

Analysis of PDEs 2011-08-22 v1 Differential Geometry

Abstract

We show uniqueness of Ricci flows starting at a surface of uniformly negative curvature, with the assumption that the flows become complete instantaneously. Together with the more general existence result proved in [10], this settles the issue of well-posedness in this class.

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Cite

@article{arxiv.0906.3309,
  title  = {Ricci flow of negatively curved incomplete surfaces},
  author = {Gregor Giesen and Peter M. Topping},
  journal= {arXiv preprint arXiv:0906.3309},
  year   = {2011}
}

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11 pages