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arxiv: 1010.5959 · v2 · pith:L4NX3RIHnew · submitted 2010-10-28 · 🧮 math.DG

K\"ahler Ricci flow on Fano manifolds with vanished Futaki invariants

classification 🧮 math.DG
keywords ahlerahler-ricciflowahler-einsteinchernclassconditionsconvergence
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In this paper, we establish several sufficient and necessary conditions for the convergence of a K\"ahler-Ricci flow, on a K\"ahler manifold with positive first Chern class, to a K\"ahler-Einstein metric (or a shrinking K\"ahler-Ricci soliton).

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