On the complete hyperbolicity and the tautness of the Hartogs domains

Authors: Đỗ Đức Thái, Phạm Việt Đức,

https://doi.org/10.1142/S0129167X00000076

Publisher, magazine: ,

Publication year: 2000

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Abstract

Let X be a complex space and φ a plurisubharmonic function on X. Consider the Hartogs domain \Omega _{\phi } (X) given by . In this article, the necessary and sufficient conditions on the complete hyperbolicity and the tautness of the Hartogs domain \Omega _{\phi } (X) are given.

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