38 citations · 90 across the 13 of their papers we have counts for
13 papers
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.
On the Bergman theory
Bo-Yong Chen, Liyou Zhang
In this paper we attempt to develop a general Bergman theory on bounded domains in . To indicate the basic difference between and cases, we show that t…
A Kobayashi and Bergman complete domain without bounded representations
Nikolay Shcherbina, Liyou Zhang
We construct an unbounded strictly pseudoconvex Kobayashi hyperbolic and complete domain in , which also possesses complete Bergman metric, but has no nonconstant bou…
Linear invariants of complex manifolds and their plurisubharmonic variations
Fusheng Deng, Zhiwei Wang, Liyou Zhang +1
For a bounded domain and a real number , we denote by the space of integrable holomorphic functions on , equipped with the - pseudonorm. We prove th…
A new proof of Kiselman's minimum principle for plurisubharmonic functions
Fusheng Deng, Zhiwei Wang, Liyou Zhang +1
We give a new proof of Kiselman's minimum principle for plurisubharmonic functions, based on Ohsawa-Takegoshi extension theorem.
New characterizations of plurisubharmonic functions and positivity of direct image sheaves
Fusheng Deng, Zhiwei Wang, Liyou Zhang +1
We give new characterizations of plurisubharmonic functions and Griffiths positivity of holomorphic vector bundles with singular Finsler metrics. As applications, we present a diff…
On the uniform squeezing property and the squeezing function
Kang-Tae Kim, Liyou Zhang
We describe the boundary behaviors of the squeezing functions for all bounded convex domains in and bounded domains with a strongly convex boundary point.
Properties of squeezing functions and global transformations of bounded domains
Fusheng Deng, Qi'an Guan, Liyou Zhang
The central purpose of the present paper is to study boundary behavior of squeezing functions on bounded domains. We prove that the squeezing function of a strongly pseudoconvex do…
Properties of squeezing functions and geometry of bounded domains
Fusheng Deng, Qi'an Guan, Liyou Zhang
In this article we continue the study of properties of squeezing functions and geometry of bounded domains. The limit of squeezing functions of a sequence of bounded domains is stu…
On Some Properties of Squeezing Functions of Bounded Domains
Fusheng Deng, Qian Guan, Liyou Zhang
The main purpose of the present paper is to introduce the notion of squeezing functions of bounded domains and study some properties of them. The relation to geometric and analytic…
Complete Einstein-Kähler Metric and Holomorphic Sectional Curvature on
Weiping Yin, Liyou Zhang
The explicit complete Einstein-Kähler metric on the second type Cartan-Hartogs domain is obtained in this paper when the parameter equals $\frac p2+\frac 1{p+1}…
The Kaehler-Einstein metric for some Hartogs domains over bounded symmetric domains
An WANG, Weiping YIN, Liyou ZHANG +1
We study the complete Kähler-Einstein metric of a Hartogs domain , which is obtained by inflation of an irreducible bounded symmetric domain , using a power …