On the Kähler-Ricci flows near the Mukai-Umemura 3-fold

Yuanqi Wang

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arXiv · 1312.0043

On the Kähler-Ricci flows near the Mukai-Umemura 3-fold

Yuanqi Wang

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Abstract

In this short note, we show that given a special Kähler-Einstein degeneration with bounded geometry, for any noncentral fiber, there exists a Kähler-Ricci flow which converges to the Kähler-Einstein metric of the central fiber. As an example, Tian's deformations \cite{Tian97} of the Mukai 3-fold admit Kähler-Ricci flows which converge to Donaldson's Kähler-Einstein metric \cite{Don08} over the Mukai 3-fold.

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Yuanqi Wang. 2013-11-29. On the Kähler-Ricci flows near the Mukai-Umemura 3-fold. https://arxiv.org/abs/1312.0043

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