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arXiv · 1910.02565

Complete K\"ahler-Einstein metric on Stein manifolds with negative curvature

Man-Chun Lee
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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.

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Man-Chun Lee. 2019-10-07. Complete K\"ahler-Einstein metric on Stein manifolds with negative curvature. https://arxiv.org/abs/1910.02565

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