5 papers · 1 filter
Contraction property on complex hyperbolic ball
Xiaoshan Li, Guicong Su
We prove an isoperimetric inequalitie on the complex hyperbolic ball with Assumption \ref{assumption}}. As an application, we prove a contraction property for the holomorphic funct…
On a Holomorphic Family of Stein Manifolds with Strongly Pseudoconvex Boundaries
Xiaoshan Li, Guicong Su
We study the stable embedding problem for a CR family of 3-dimensional strongly pseudoconvex CR manifolds with each fiber bounding a stein manifold.
The Kobayashi pseudometric for the Fock-Bargmann-Hartogs domain and its application
Enchao Bi, Guicong Su, Zhenhan Tu
The Fock-Bargmann-Hartogs domain in is defined by the inequality where , which is an…
Rawnsley's -function on some Hartogs type domains over bounded symmetric domains and its applications
Enchao Bi, Zhiming Feng, Guicong Su +1
The purpose of this paper is twofold. Firstly, we will compute the explicit expression of the Rawnsley's -function of $\big(\big(\prod_{j=1}…
Kähler submanifolds of the symmetrized polydisc
Guicong Su, Yanyan Tang, Zhenhan Tu
This paper proves the non-existence of common Kähler submanifolds of the complex Euclidean space and the symmetrized polydisc endowed with their canonical metrics.