Ricci flow on cone surfaces

被引：3
|
作者：
Ramos, Daniel [1 ]
机构：
[1] Univ Lisbon, Ctr Matemat Aplicac Fundamentais & Invest Operac, P-1749016 Lisbon, Portugal
来源：
PORTUGALIAE MATHEMATICA | 2018年 / 75卷 / 01期
关键词：
Ricci flow; Ricci solitons; conical singularities; uniformization theorem; CONVERGENCE; 2-ORBIFOLDS;
D O I：
10.4171/PM/2010
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the evolution under the Ricci flow of surfaces with singularities of cone type. Firstly we provide a complete classification of gradient Ricci solitons on surfaces, which is of independent interest. Secondly, we prove that closed cone surfaces with cone angles less or equal to pi converge, up to rescaling, to closed soliton metrics under the Ricci flow.
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页码：11 / 65
页数：55
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