Fano manifolds with weak almost Kähler-Ricci solitons

Xiaohua Zhu

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arXiv · 1307.8226

Fano manifolds with weak almost Kähler-Ricci solitons

Xiaohua Zhu

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Abstract

In this paper, we prove that a sequence of weak almost Kähler-Ricci solitons under further suitable conditions converge to a Kähler-Ricci soliton with complex codimension of singularities at least 2 in the Gromov-Hausdorff topology. As a corollary, we show that on a Fano manifold with the modified K-energy bounded below, there exists a sequence of weak almost Kähler-Ricci solitons which converge to a Kähler-Ricci soliton with complex codimension of singularities at least 2 in the Gromov-Hausdorff topology.

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Xiaohua Zhu. 2013-07-31. Fano manifolds with weak almost Kähler-Ricci solitons. https://arxiv.org/abs/1307.8226

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