On the collapsing rate of the Kähler-Ricci flow with finite-time singularity

Abstract

This short note studies the collapsing behavior of the Kähler-Ricci flow on a compact Kähler manifold X admitting a holomorphic submersion X -> B where B is a Kähler manifold of lower dimension than X. We give cohomological and curvature conditions under which the fibers collapse at the optimal rate ~(T-t)^{1/2}

9 pages

References in corpus (1)

• Lecture notes on the Kähler-Ricci flow

Cited by in corpus (4)

• The Collapsing Rate of the Kähler-Ricci Flow with Regular Infinite Time Singularity
• Some Type I solutions of Ricci flow with rotational symmetry
• On Feldman-Ilmanen-Knopf conjecture for the blow-up behavior of the Kahler Ricci flow
• The Kähler-Ricci flow on compact Kähler manifolds