Type II ancient solutions to the Ricci flow on surfaces

2006/11/10 by Sun-Chin Chu, Chu, Sun-Chin
Mathematics · Physics and Astronomy · #53C44 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.math/0611301

openalex publication_date 2006/11/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Type II (ancient) solutions to the Ricci flow on surfaces are not yet classified. It is conjectured that the Rosenau solution and the cigar are the only solutions, modulo scaling. In this paper, we mainly study the backward limit and the circumference at spatial infinity of Type II ancient solutions on noncompact surfaces.

Citations

• Lower Bounds on Ricci Curvature and the Almost Rigidity of Warped Products

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