9 citations · 18 across the 5 of their papers we have counts for
8 papers
The structure of HCMU metric in a K-Surface
Qing Chen, Xiuxiong Chen, Yingyi Wu
We study the basic structure of a HCMU metric in a K-Surface with prescribed singularities. When the underlying smooth surface is , we prove the necessary condition given in […
A note on uniformization of Riemann surfaces by Ricci flow
Xiuxiong Chen, Peng Lu, Gang Tian
In this note we clarify that the Rcci flow can be used to give an independent proof of the uniformization theorem of Riemann surfaces.
On the lower bound of energy functional E_1 (I)-- a stability theorem on the Kaehler Ricci flow
Xiuxiong Chen
In the present paper, we prove a stability theorem for the Kaehler Ricci flow near the infimum of the functional E_1 under the assumption that the initial metric has Ricci > -1 and…
Geometry of Kaehler metrics and holomorphic foliation by discs
Xiuxiong Chen, Gang Tian
The purpose of this paper is to establish a partial regularity theory on certain homogeneous complex Monge-Ampere equations. As consequences of this new theory, we prove the unique…
Recent progress in Kähler geometry
Xiuxiong Chen
In recent years, there are many progress made in Kähler geometry. In particular, the topics related to the problems of the existence and uniqueness of extremal Kähler metrics, as w…
Ricci flow on Kaehler-Einstein surfaces
Xiuxiong Chen, Gang Tian
In this paper, we construct a set of new functionals of Ricci curvature on any Kaehler manifolds which are invariant under holomorphic transfermations in Kaehler Einstein manifolds…