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math.DG2013★ 5 cited
Regularity of Kähler-Ricci flow
Gang Tian, Zhenlei Zhang
In this short note we announce a regularity theorem for Kähler-Ricci flow on a compact Fano manifold (Kähler manifold with positive first Chern class) and its application to the li…
math.DG2011★ 18 cited
Supremum of Perelman's entropy and Kähler-Ricci flow on a Fano manifold
Gang Tian, Shijin Zhang, Zhenlei Zhang +1
In this paper, we extend the method in [TZhu5] to study the energy level of Perelman's entropy for Kähler-Ricci flow on a Fano manifold. Consequently, we firs…
math.DG2010★ 2 cited
Kähler Ricci flow with vanished Futaki invariant
Zhenlei Zhang
We study the convergence of the Kähler-Ricci flow on a compact Kähler manifold with positive first Chern class and vanished Futaki invariant on . As t…