Kahler-Ricci flow on blowups along submanifolds
Differential Geometry
2018-09-12 v1
Abstract
In this short note, we study the behavior of Kaher-Ricci flow on Kahler manifolds which contract divisors to smooth submanifolds. We show that the Kahler potentials are Holder continuous and the flow converges sequentially in Gromov-Hausdorff topology to a compact metric space which is homeomorphic to the base manifold.
Cite
@article{arxiv.1809.03654,
title = {Kahler-Ricci flow on blowups along submanifolds},
author = {Bin Guo},
journal= {arXiv preprint arXiv:1809.03654},
year = {2018}
}