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 (7)

• The logarithmic Sobolev inequality along the Ricci flow
• The Kähler-Ricci flow with positive bisectional curvature
• Perelman's W-functional and stability of Kähler-Ricci flow
• A uniform Sobolev inequality under Ricci flow
• The Kähler-Ricci flow and the $\bar{\partial }$ operator on vector fields
• Compactness results for the Kähler-Ricci flow
• Convergence of Kaehler-Ricci flow with integral curvature bound

Cited by in corpus (4)

• Lectures on Stability and Constant Scalar Curvature
• Ricci flow on Orbifold
• Kähler Ricci flow with vanished Futaki invariant
• Convergence of Lagrangian mean curvature flow in Kähler-Einstein manifolds