Long time existence of Minimizing Movement solutions of Calabi flow

2012/08/13 by Streets, Jeff · 2 citations
#Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1208.2718

Abstract

We recast the Calabi flow in DeGiorgi's language of minimizing movements. We establish the long time existence of minimizing movements for K-energy with arbitrary initial condition. Furthermore we establish some a priori regularity of these solutions, and that sufficiently regular minimizing movements are smooth solutions to Calabi flow.

Cited by

• Calabi flow with bounded L^p scalar curvature (II)
• Lines in the space of Kähler metrics

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