71 citations · 772 across the 59 of their papers we have counts for
Showing 2010 · math.DGShow all
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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…
math.DG2010★ 13 cited
Calabi flow, Geodesic rays, and uniqueness of constant scalar curvature Kähler metrics
Xiuxiong Chen, Song Sun
We prove that constant scalar curvature Kähler metric "adjacent" to a fixed Kähler class is unique up to isomorphism. This extends the uniqueness theorem of Donaldson and Chen-Tian…
math.DG2010★ 1 cited
The complex Monge-Ampere equation on compact Kaehler manifolds
Xiuxiong Chen, Weiyong He
We consider the complex Monge-Ampère equation on a compact Kähler manifold when the right hand side has rather weak regularity. In particular we prove that estimate of…