Fano manifolds with weak almost K\"ahler-Ricci solitons
Differential Geometry
2013-08-01 v1
Abstract
In this paper, we prove that a sequence of weak almost K\"ahler-Ricci solitons under further suitable conditions converge to a K\"ahler-Ricci soliton with complex codimension of singularities at least 2 in the Gromov-Hausdorff topology. As a corollary, we show that on a Fano manifold with the modified K-energy bounded below, there exists a sequence of weak almost K\"ahler-Ricci solitons which converge to a K\"ahler-Ricci soliton with complex codimension of singularities at least 2 in the Gromov-Hausdorff topology.
Keywords
Cite
@article{arxiv.1307.8226,
title = {Fano manifolds with weak almost K\"ahler-Ricci solitons},
author = {Xiaohua Zhu},
journal= {arXiv preprint arXiv:1307.8226},
year = {2013}
}