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math.DG2010★ 14 cited
Stability of Calabi flow near an extremal metric
Hongnian Huang, Kai Zheng
We prove that on a Kähler manifold admitting an extremal metric and for any Kähler potential close to , the Calabi flow starting at exists for all time and the m…
math.DG2010★ 4 cited
Stability of Kähler-Ricci flow in the space of Kähler metrics
Kai Zheng
In this paper, we prove that on a Fano manifold which admits a Kähler-Ricci soliton $(\om,X)$, if the initial Kähler metric $\om_{\vphi_0}$ is close to $\om$ in some weak sense…
math.DG2010★ 6 cited
Pseudo-Calabi Flow
Xiuxiong Chen, Kai Zheng
We first define Pseudo-Calabi flow, as {equation*} {{aligned}{{\partial φ}\over {\partial t}}&= -f(φ), \triangle_varphi f(φ) &= S(φ) - \ul S.{aligned}. \end{equation*} Then we prov…