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arXiv · 1803.07761

The K\"ahler-Ricci flow on pseudoconvex domains

Huabin Ge·Aijin Lin·Liangming Shen
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Abstract

We establish the existence of K\"ahler-Ricci flow on pseudoconvex domains with general initial metric without curvature bounds. Moreover we prove that this flow is simultaneously complete, and its normalized version converge to the complete K\"ahler-Einstein metric, which generalizes Topping's works on surfaces.

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Huabin Ge, Aijin Lin, Liangming Shen. 2018-03-21. The K\"ahler-Ricci flow on pseudoconvex domains. https://arxiv.org/abs/1803.07761

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