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Ricci Flow with hyperbolic warped product metrics

2007/09/11 by Li Ma, Ma, Li, Xingwang Xu +1
Mathematics · Physics and Astronomy · #35Jxx #53Cxx #Advanced Differential Geometry Research #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #math.AP #math.DG #msc:35Jxx #msc:53Cxx

paper · pdf · doi:10.48550/arxiv.0709.1521

9 pages

arxiv created 2007/09/11 · openalex publication_date 2007/09/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this short note, we show that the negative curvature is preserved in the deformation of hyperbolic warped product metrics under Ricci flow. It is also showed that the flow converges to a flat metric as time going to infinity.

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