Rigidity of proper holomorphic mappings between certain unbounded non-hyperbolic domains

Zhenhan Tu, Lei Wang

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