Remark on the Calabi flow with bounded curvature

Abstract

In this short note we prove that if the curvature tensor is uniformly bounded along the Calabi flow and the Mabuchi energy is proper, then the flow converges to a constant scalar curvature metric.

arXiv comment7 pages

References in corpus (1)

• Convergence of the calabi flow on toric varieties and related Kaehler manifolds

Cited by in corpus (2)

• Kähler non-collapsing, eigenvalues and the Calabi flow
• The interior regularity of the Calabi flow on a toric surface