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- W2980853399 abstract "In this paper, we prove two mutually independent theorems on the family of Fock-Bargmann-Hartogs domains. Let $D_1$ and $D_2$ be two Fock-Bargmann-Hartogs domains in $mathbb{C}^{N_1}$ and $mathbb{C}^{N_2}$, respectively. In Theorem 1, we obtain a complete description of an arbitrarily given proper holomorphic mapping between $D_1$ and $D_2$ in the case where $N_1 = N_2$. Also, we shall give a geometric interpretation of Theorem 1. And, in Theorem 2, we determine the structure of $text{Aut}(D_1times D_2)$ using the data of $text{Aut}(D_1)$ and $text{Aut}(D_2)$ for arbitrary $N_1$ and $N_2$." @default.
- W2980853399 created "2019-10-25" @default.
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- W2980853399 date "2019-10-01" @default.
- W2980853399 modified "2023-09-25" @default.
- W2980853399 title "TWO THEOREMS ON THE FOCK-BARGMANN-HARTOGS DOMAINS" @default.
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- W2980853399 doi "https://doi.org/10.18910/73626" @default.
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