Kähler-Ricci flow on a toric manifold with positive first Chern class

Xiaohua Zhu

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arXiv · math/0703486

Kähler-Ricci flow on a toric manifold with positive first Chern class

Xiaohua Zhu

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Abstract

In this note, we prove that on an $n$-dimensional compact toric manifold with positive first Chern class, the Kähler-Ricci flow with any initial $(S^1)^n$-invariant Kähler metric converges to a Kähler-Ricci soliton. In particular, we give another proof for the existence of Kähler-Ricci solitons on a compact toric manifold with positive first Chern class by using the Kähler-Ricci flow.

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Xiaohua Zhu. 2007-03-16. Kähler-Ricci flow on a toric manifold with positive first Chern class. https://arxiv.org/abs/math/0703486

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