Stability of Kähler-Ricci flow

Abstract

We prove the convergence of Kähler-Ricci flow with some small initial curvature conditions. As applications, we discuss the convergence of Kähler-Ricci flow when the complex structure varies on a Kähler-Einstein manifold.

29 pages, final version, to appear in Journal of Geometric Analysis

References in corpus (4)

• The logarithmic Sobolev inequality along the Ricci flow
• A uniform Sobolev inequality under Ricci flow
• Compactness results for the Kähler-Ricci flow
• Convergence of Kaehler-Ricci flow with integral curvature bound

Cited by in corpus (1)

• Lectures on Stability and Constant Scalar Curvature