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arXiv · 1203.3781

Collapsing of Products Along the Kähler-Ricci Flow

Matthew Gill
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Abstract

Let $X = M \times E$ where $M$ is an $m$-dimensional Kähler manifold with negative first Chern class and $E$ is an $n$-dimensional complex torus. We obtain $C^\infty$ convergence of the normalized Kähler-Ricci flow on $X$ to a Kähler-Einstein metric on $M$. This strengthens a convergence result of Song-Weinkove and confirms their conjecture.

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Matthew Gill. 2012-03-16. Collapsing of Products Along the Kähler-Ricci Flow. https://arxiv.org/abs/1203.3781

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