Asymptotic stability for K\"ahler-Ricci solitons
Differential Geometry
2015-07-31 v3
Abstract
We show that the coercivity of the modified Ding functional leads to the existence of a certain kind of balanced metrics and their convergence to the K\"ahler-Ricci soliton modulo automorphisms. In our results, we do not assume that the vanishing of the higher order modified Futaki invariants introduced by Berman-Nystr\"om.
Keywords
Cite
@article{arxiv.1503.05668,
title = {Asymptotic stability for K\"ahler-Ricci solitons},
author = {Ryosuke Takahashi},
journal= {arXiv preprint arXiv:1503.05668},
year = {2015}
}
Comments
15 pages, final version, to appear in Mathematische Zeitschrift