Analysis Aspects of Ricci Flow on Conical Surfaces
Analysis Aspects of Ricci Flow on Conical Surfaces
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DOI：
10.1007/s10114-022-0131-9
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发表时间：
2022
期刊：
影响因子：
--
通讯作者：
Yin Hao
中科院分区：
文献类型：
--
作者：
Yin Hao
In this paper, we establish a framework for the analysis of linear parabolic equations on conical surfaces and use them to study the conical Ricci flow. In particular, we prove the long time existence of the conical Ricci flow for general cone angle and show that this solution has the optimal regularity, namely, the time derivatives of the conformal factor are bounded and for each fixed time, the conformal factor has an explicit asymptotic expansion near the cone points.
