Ricci flow on surfaces with conical singularities, II

2013/05/19 by Hao Yin, Yin, Hao
Health Professions · Mathematics · #35K45 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Therapeutic Uses of Natural Elements #math.DG #msc:35K45

paper · pdf · doi:10.48550/arxiv.1305.4355

Major revision with a new appendix

openalex publication_date 2013/05/19 · arxiv created 2015/12/05 · arxiv updated 2015/12/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we study the (normalized) Ricci flow on surfaces with conical singularities. Long time existence is proved for cone angle smaller than 2π. In this case, convergence results are obtained if the Euler number is nonpositive.

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• Ricci flow on surfaces with conical singularities

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