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

2025/10/16 by Li, Haozhao, Zhang, Linwei
#53C21 #53E40 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2510.14302

Abstract

In this paper, we show that on a compact Kähler manifold the Calabi flow can be extended as long as some space-time L^p integrals of the scalar curvature are bounded.

Citations

• Calabi flow with bounded L^p scalar curvature
• Remarks on a result of Chen-Cheng
• Sobolev inequalities on Kähler spaces
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• Green's functions and complex Monge-Ampère equations
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• Extend Mean Curvature Flow with Finite Integral Curvature
• Local solution and extension to the Calabi flow
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• The Calabi flow on Kähler surface with bounded Sobolev constant
• On the Calabi flow
• The Space of Kähler metrics (II)
• Calabi flow in Riemann surfaces revisited: A new point of view

Related

• Calabi flow with bounded L^p scalar curvature
• On the convergence of the Calabi flow
• Remark on the Calabi flow with bounded curvature
• On the Calabi flow
• Calabi flow in Riemann surfaces revisited: A new point of view