TWO THEOREMS ON THE FOCK-BARGMANN-HARTOGS DOMAINS

IF 0.5 4区数学 Q3 MATHEMATICS

Osaka Journal of Mathematics Pub Date : 2019-10-01 DOI:10.18910/73626

A. Kodama, S. Shimizu

引用次数: 1

Abstract

In this paper, we prove two mutually independent theorems on the family of Fock-BargmannHartogs domains. Let D1 and D2 be two Fock-Bargmann-Hartogs domains in CN1 and CN2 , respectively. In Theorem 1, we obtain a complete description of an arbitrarily given proper holomorphic mapping between D1 and D2 in the case where N1 = N2. Also, we shall give a geometric interpretation of Theorem 1. And, in Theorem 2, we determine the structure of Aut(D1 × D2) using the data of Aut(D1) and Aut(D2) for arbitrary N1 and N2.

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fock-bargmann-hartogs定域上的两个定理

本文证明了Fock-BargmannHartogs定域族上的两个相互独立的定理。设D1和D2分别为CN1和CN2中的两个Fock-Bargmann-Hartogs结构域。在定理1中，我们得到了当N1 = N2时，D1与D2之间任意给定的真全纯映射的完整描述。同时，我们将给出定理1的几何解释。在定理2中，我们利用任意N1和N2下的Aut(D1)和Aut(D2)的数据确定了Aut(D1 × D2)的结构。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Osaka Journal of Mathematics 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Osaka Journal of Mathematics is published quarterly by the joint editorship of the Department of Mathematics, Graduate School of Science, Osaka University, and the Department of Mathematics, Faculty of Science, Osaka City University and the Department of Pure and Applied Mathematics, Graduate School of Information Science and Technology, Osaka University with the cooperation of the Department of Mathematical Sciences, Faculty of Engineering Science, Osaka University. The Journal is devoted entirely to the publication of original works in pure and applied mathematics.