A volume stability theorem on toric manifolds with positive Ricci curvature

Wang Feng

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arXiv · 1210.5711

A volume stability theorem on toric manifolds with positive Ricci curvature

Wang Feng

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Abstract

In this short note, we will prove a volume stability theorem which says that if an n-dimensional toric manifold $M$ admits a $\mathbb{T}^n$ invariant Kähler metric $ω$ with Ricci curvature no less than 1 and its volume is close to the volume of $\mathbb{CP}^n$, $M$ is bi-holomorphic to $\mathbb{CP}^n$.

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Wang Feng. 2012-10-21. A volume stability theorem on toric manifolds with positive Ricci curvature. https://arxiv.org/abs/1210.5711

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