Cusp K\"ahler-Ricci flow on compact K\"ahler manifold

Jiawei Liu; Xi Zhang

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arXiv · 1705.05129

Cusp K\"ahler-Ricci flow on compact K\"ahler manifold

Jiawei Liu·Xi Zhang

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Abstract

In this paper, by limiting twisted conical K\"ahler-Ricci flows, we prove the long-time existence and uniqueness of cusp K\"ahler-Ricci flow on compact K\"ahler manifold $M$ which carries a smooth hypersurface $D$ such that the twisted canonical bundle $K_M+D$ is ample. Furthermore, we prove that this flow converge to a unique cusp K\"ahler-Einstein metric.

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Jiawei Liu, Xi Zhang. 2017-05-15. Cusp K\"ahler-Ricci flow on compact K\"ahler manifold. https://arxiv.org/abs/1705.05129

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