The K\"ahler-Ricci flow on manifolds with negative holomorphic curvature

Freid Tong

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arXiv · 1805.03562

The K\"ahler-Ricci flow on manifolds with negative holomorphic curvature

Freid Tong

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Abstract

We study the behaviour of the normalized K\"ahler-Ricci flow on complete K\"ahler manifolds of negative holomorphic sectional curvature. We show that the flow exists for all time and converges to a K\"ahler-Einstein metric of negative scalar curvature, recovering a result of Wu and Yau.

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Freid Tong. 2018-05-09. The K\"ahler-Ricci flow on manifolds with negative holomorphic curvature. https://arxiv.org/abs/1805.03562

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