Complete K\"ahler-Einstein metric on Stein manifolds with negative curvature
Differential Geometry
2019-10-08 v1 Complex Variables
Abstract
We show the existence of complete negative K\"ahler-Einstein metric on Stein manifolds with negatively pinched holomorphic sectional curvature. We prove that any K\"ahler metrics on such manifolds can be deformed to the complete negative K\"ahler-Einstein metric using the normalized K\"ahler-Ricci flow.
Keywords
Cite
@article{arxiv.1910.02565,
title = {Complete K\"ahler-Einstein metric on Stein manifolds with negative curvature},
author = {Man-Chun Lee},
journal= {arXiv preprint arXiv:1910.02565},
year = {2019}
}