Scalar Curvature Behavior for Finite Time Singularity of Kähler-Ricci Flow

Abstract

In this short paper, we show that Kähler-Ricci flows over closed manifolds would have scalar curvature blown-up for finite time singularity. Certain control of the blowing-up is achieved with some mild assumption.

Tex file for a short note

References in corpus (3)

• The Kähler-Ricci flow on surfaces of positive Kodaira dimension
• Kähler-Ricci Flow and the Minimal Model Program for Projective Varieties
• Scalar Curvature Bound for Kähler-Ricci Flows over Minimal Manifolds of General Type

Cited by in corpus (4)

• The Kahler-Ricci flow through singularities
• Remarks on curvature behavior at the first singular time of the Ricci flow
• Finite time extinction of the Kahler-Ricci flow
• The mean curvature flow along the Kähler-Ricci flow