Ricci Flow on Surfaces with Conical Singularities |
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Authors: | Hao Yin |
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Institution: | 1.Mathematics Department,Shanghai Jiaotong University,Shanghai,China |
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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 a Ricci
soliton metric. |
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Keywords: | |
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