Ricci flow on surfaces with conical singularities

Details Ricci flow on surfaces with conical singularities Ricci flow on surfaces with conical singularities

2009-01-16

arxiv.org/abs/0901.2387v2

Mathematics

Differential Geometry

Acknowledgment added. No modification to the proof

Scientific paper

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.

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