AUTOMORPHISMS OF THE HARTOGS TYPE DOMAINS OVER CLASSICAL SYMMETRIC DOMAINS

Author:

AHN HEUNGJU1,BYUN JISOO2,PARK JONG-DO3

Affiliation:

1. Department of Mathematics, Pohang University of Science and Technology, San 31, Hyoja-Dong, Namgu, Pohang, Kyungbuk, 790-784, Korea

2. Department of Mathematics Education, Kyungnam University, Wolyong-Dong 449, Changwon-Si, Kyungnam 631-701, Korea

3. KIAS Hoegiro 87 (207-43 Cheongnyangni-Dong), Dongdaemun-Gu, Seoul 130-722, Korea

Abstract

In this paper we completely describe the automorphism group of the Hartogs type domains over bounded classical symmetric domains by using the ball characterization theorem about noncompact automorphism groups. As an application, we give plenty of examples of non-homogeneous domains in ℂn, for which the real dimension of the automorphism group is less than n2 - 1.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

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