2009/02/06 by Panagiota Daskalopoulos, Richard S. Hamilton, Daskalopoulos, Panagiota +5 · 1 citation
Mathematics · Physics and Astronomy · #53C44 #Advanced Differential Geometry Research #Analysis of PDEs (math.AP) #Black Holes and Theoretical Physics #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #math.AP #math.DG #msc:53C44
paper · pdf · doi:10.48550/arxiv.0902.1158
openalex publication_date 2009/02/06 · arxiv created 2012/03/05 · arxiv updated 2012/03/06 · openalex created_date 2022/10/04 · openalex updated_date 2026/07/28
We consider an ancient solution g(⋅,t) of the Ricci flow on a compact surface that exists for t∈ (-∞,T) and becomes spherical at time t=T. We prove that the metric g(⋅,t) is either a family of contracting spheres, which is a type I ancient solution, or a Rosenau solution, which is a type II ancient solution.