K\"ahler-Ricci flow on a toric manifold with positive first Chern class
Differential Geometry
2007-05-23 v1 Analysis of PDEs
Abstract
In this note, we prove that on an -dimensional compact toric manifold with positive first Chern class, the K\"ahler-Ricci flow with any initial -invariant K\"ahler metric converges to a K\"ahler-Ricci soliton. In particular, we give another proof for the existence of K\"ahler-Ricci solitons on a compact toric manifold with positive first Chern class by using the K\"ahler-Ricci flow.
Keywords
Cite
@article{arxiv.math/0703486,
title = {K\"ahler-Ricci flow on a toric manifold with positive first Chern class},
author = {Xiaohua Zhu},
journal= {arXiv preprint arXiv:math/0703486},
year = {2007}
}