Calabi flow with bounded L^p scalar curvature

2023/12/10 by Haozhao Li, Linwei Zhang, Li, Haozhao +2 · 1 citation
Mathematics · Physics and Astronomy · #53C21 #53E40 #Black Holes and Theoretical Physics #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.2312.05816

openalex publication_date 2023/12/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we show that the Calabi flow can be extended as long as the L^p scalar curvature is uniformly bounded for some p>n, and on a compact extremal Kähler manifold the Calabi flow with uniformly bounded L^p(p>n) scalar curvature exists for all time and converges exponentially fast to an extremal Kähler metric.

Cited by

• Calabi flow with bounded L^p scalar curvature (II)

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