71 citations · 772 across the 59 of their papers we have counts for
54 papers · 1 filter
Approximation of weak geodesics and subharmonicity of Mabuchi energy, II: -geodesics
Long Li
The purpose of this article is to study the strict convexity of the Mabuchi functional along a -geodesic, with the aid of the -geodesics. We proved the -convergenc…
On the geometry of asymptotically flat manifolds
Xiuxiong Chen, Yu Li
In this paper, we investigate the geometry of asymptotically flat manifolds with controlled holonomy. We show that any end of such manifold admits a torus fibration over an ALE end…
On the constant scalar curvature Kähler metrics, general automorphism group
Xiuxiong Chen, Jingrui Cheng
In this paper, we derive estimates for scalar curvature type equations with more singular right hand side. As an application, we prove Donaldson's conjecture on the equivalence bet…
On the constant scalar curvature Kähler metrics, apriori estimates
Xiuxiong Chen, Jingrui Cheng
In this paper, we derive apriori estimates for constant scalar curvature Kähler metrics on a compact Kähler manifold. We show that higher order derivatives can be estimated in term…
Compactness of Kähler metrics with bounds on Ricci curvature and I functional
Xiuxiong Chen, Tamás Darvas, Weiyong He
We prove a compactness theorem for Kähler metrics with various bounds on Ricci curvature and the functional. We explore applications of our result to the continuity me…
Remarks of weak-compactness along Kahler Ricci flow
Xiuxiong Chen, Bing Wang
We provide a direct proof of time-slice weak compactness along the Kähler Ricci flow on Fano manifolds.