20 citations · 69 across the 29 of their papers we have counts for
30 papers
Infinite-Dimensionality of Bergman Spaces on\ Complete -Bounded Kähler Manifolds
Bo-Yong Chen, Jujie Wu
Let be a complete Kähler manifold of complex dimension whose Kähler form is -bounded in the sense of Gromov. We prove that its Bergman space, namely the Hilbert sp…
Scalar Curvature, Volumes and the Bergman Kernel
Bo-Yong Chen, Yuanpu Xiong, Liyou Zhang
Motivated by the works of Gromov and LeBrun in Riemannian geometry, we study the analogous phenomena in complex geometry. We first show that both and ${\r…
Equality between the Bergman metric and Carathéodory metric
Bo-Yong Chen, Yuanpu Xiong, Liyou Zhang
We present an equality between the Bergman metric and Carathéodry metric.
Some properties of the Bergman kernel and metric
Bo-Yong Chen, Yuanpu Xiong
The Bergman kernel is shown to be of for . An unexpected relation between the off-diagonal Bergman kernel and certain we…
Log-hyperconvexity index and Bergman kernel
Bo-Yong Chen, Zhiyuan Zheng
We obtain a quantitative estimate of Bergman distance when is a bounded domain with log-hyperconvexity index , as we…
Corona problem on regular domains
Bo-Yong Chen, Xu Xing
We prove an Corona theorem with estimate for on delta-regular domains, where and is the number of generators. This cla…