The automorphism group of a certain unbounded non-hyperbolic domain

Abstract: In this paper we determine the automorphism group of the Fock-Bargmann-Hartogs domain $D_{n,m}$ in $\mathbb{C}^n\times\mathbb{C}^m$ which is defined by the inequality ${|\zeta|}^2<e^{-\mu{|z|}^2}$.