Ricci flow on surfaces with conical singularities
Differential Geometry
2015-12-08 v3
Abstract
This paper studies the normalized Ricci flow on surfaces with conical singularities. It's proved that the normalized Ricci flow has a solution for a short time for initial metrics with conical singularities. Moreover, the solution makes good geometric sense. For some simple surfaces of this kind, for example, the tear drop and the football, it's shown that they admit Ricci soliton metric.
Keywords
Cite
@article{arxiv.0901.2387,
title = {Ricci flow on surfaces with conical singularities},
author = {Hao Yin},
journal= {arXiv preprint arXiv:0901.2387},
year = {2015}
}
Comments
There is no revision to the paper, just this comment. Recently I found a gap in the proof of Theorem 1.1. Please see Remark 1.2 of arXiv:1305.4355 for details