Balanced metrics on the Fock-Bargmann-Hartogs domains

Enchao Bi, Zhiming Feng, Zhenhan Tu

The Fock-Bargmann-Hartogs domain $D_{n,m}(\mu )$ ($\mu >0$) in ${\mathbb{C}}^{n+m}$ is defined by the inequality $\Vert w{\Vert }^2<e^{-\mu \Vert z{\Vert }^2},$ where $(z,w)\in {\mathbb{C}}^n\times {\mathbb{C}}^m$,…