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arxiv: 1207.5441 · v2 · pith:LW4EKSIInew · submitted 2012-07-23 · 🧮 math.DG

The twisted Kahler-Ricci flow

classification 🧮 math.DG
keywords flowtwistedkahler-ricciformbuildsclosedconvergenceconverges
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In this paper we study a generalization of the Kahler-Ricci flow, in which the Ricci form is twisted by a closed, non-negative (1,1)-form. We show that when a twisted Kahler-Einstein metric exists, then this twisted flow converges exponentially. This generalizes a result of Perelman on the convergence of the Kahler-Ricci flow, and it builds on work of Tian-Zhu.

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