Remarks on a result of Chen-Cheng

2023/11/01 by Zhiqin Lu, Lu, Zhiqin, Reza Seyyedali +1 · 1 citation
Mathematics · Physics and Astronomy · #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.2311.00795

openalex publication_date 2023/11/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In their seminal work (\citeCC, \citeCC2), Chen and Cheng proved apriori estimates for the constant scalar curvature metrics on compact Kähler manifolds. They also prove C^3,α-estimate for the potential of the Kähler metrics under boundedness assumption on the scalar curvature and the entropy. The goal of this paper is to replace the uniform boundedness of the scalar curvature to the L^p-boundedness of the scalar curvature.

Cited by

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

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