A note on Kaehler-Ricci flow

2008/10/03 by Chengjie Yu, Yu, Chengjie
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #math.DG

paper · pdf · doi:10.48550/arxiv.0810.0574

arxiv created 2008/10/03 · openalex publication_date 2008/10/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let g(t) with t∈ [0,T) be a complete solution to the Kaehler-Ricci flow: (d)/(dt)g_{i j}=-R_{i j} where T may be ∞. In this article, we show that the curvatures of g(t) is uniformly bounded if the solution g(t) is uniformly equivalet. This result is stronger than the main result in Šešum \citesesum within the category of Kähler-Ricci flow.

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