3 citations · 4 across the 4 of their papers we have counts for
7 papers · 1 filter
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.
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…
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…