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arXiv · 0908.1488

Stability on Kähler-Ricci flow, I

Xiaohua Zhu
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Abstract

In this paper, we prove that Kähler-Ricci flow converges to a Kähler-Einstein metric (or a Kähler-Ricci soliton) in the sense of Cheeger-Gromov as long as an initial Kähler metric is very closed to $g_{KE}$ (or $g_{KS}$) if a compact Kähler manifold with $c_1(M)>0$ admits a Kähler Einstein metric $g_{KE}$ (or a Kähler-Ricci soliton $g_{KS}$). The result improves Main Theorem in [TZ3] in the sense of stability of Kähler-Ricci flow.

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Xiaohua Zhu. 2009-08-11. Stability on Kähler-Ricci flow, I. https://arxiv.org/abs/0908.1488

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