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

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

2011-12-27

arxiv.org/abs/1112.5987v1

Mathematics

Differential Geometry

9 pages

Scientific paper

This short note studies the collapsing behavior of the K\"ahler-Ricci flow on
a compact K\"ahler manifold X admitting a holomorphic submersion X -> B where B
is a K\"ahler 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}

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