2007/11/05 by Joerg Enders, Enders, Joerg · 1 citation
Mathematics · Physics and Astronomy · #35K05 #58J35 #Advanced Differential Geometry Research #Analysis of PDEs (math.AP) #Cosmology and Gravitation Theories #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #math.AP #math.DG #msc:35K05 #msc:58J35
paper · pdf · doi:10.48550/arxiv.0711.0558
17 pages
arxiv created 2007/11/05 · openalex publication_date 2007/11/05 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we define a reduced distance function based at a point at the singular time T<∞ of a Ricci flow. We also show the monotonicity of the corresponding reduced volume based at time T, with equality iff the Ricci flow is a gradient shrinking soliton. Our curvature bound assumption is more general than the type I condition.