典型文献
Analysis Aspects of Ricci Flow on Conical Surfaces
文献摘要:
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.
文献关键词:
中图分类号:
作者姓名:
Hao YIN
作者机构:
School of Mathematical Sciences,University of Science and Technology of China,Hefei 230026,P.R.China
文献出处:
引用格式:
[1]Hao YIN-.Analysis Aspects of Ricci Flow on Conical Surfaces)[J].数学学报(英文版),2022(05):807-857
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Analysis,Aspects,Ricci,Flow,Conical,Surfaces,In,this,paper,we,establish,framework,analysis,linear,parabolic,equations,conical,surfaces,use,them,study,flow,particular,prove,long,existence,general,cone,angle,show,that,solution,has,optimal,regularity,namely,derivatives,conformal,are,bounded,each,fixed,explicit,asymptotic,expansion,points
AB值:
0.638136
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