Gradient K\"ahler-Ricci solitons and a uniformization conjecture
Differential Geometry
2007-05-23 v1
Abstract
In this article we study the limiting behavior of the K\"ahler Ricci flow on complete non-compact K\"ahler manifolds. We provide sufficient conditions under which a complete non-compact gradient K\"ahler-Ricci soliton is biholomorphic to . We also discuss the uniformization conjecture by Yau \cite{Y} for complete non-compact K\"ahler manifolds with positive holomorphic bisectional curvature.
Cite
@article{arxiv.math/0310198,
title = {Gradient K\"ahler-Ricci solitons and a uniformization conjecture},
author = {Albert Chau and Luen-Fai Tam},
journal= {arXiv preprint arXiv:math/0310198},
year = {2007}
}