Energy functionals and K\"ahler-Ricci solitons
Differential Geometry
2009-07-01 v1
Abstract
In this paper, we generalize Chen-Tian energy functionals to K\"ahler-Ricci solitons and prove that the properness of these functionals is equivalent to the existence of K\"ahler-Ricci solitons. We also discuss the equivalence of the lower boundedness of these functionals and their relation with Tian-Zhu's holomorphic invariant.
Cite
@article{arxiv.0906.5522,
title = {Energy functionals and K\"ahler-Ricci solitons},
author = {Haozhao Li},
journal= {arXiv preprint arXiv:0906.5522},
year = {2009}
}
Comments
18 pages