Proceedings of the American Mathematical Society

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ISSN 1088-6826(e) ISSN 0002-9939(p)

Tautness and complete hyperbolicity of domains in $\mathbb C^n$

Author(s): Hervé Gaussier
Journal: Proc. Amer. Math. Soc. 127 (1999), 105-116.
MSC (1991): Primary 32M99; Secondary 32M05, 32H05
MathSciNet review: 1458872
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Abstract: We prove that the existence of a local peak holomorphic function at each boundary point of an unbounded domain and at infinity implies the complete hyperbolicity of this domain, and we give a link between local tautness and global tautness of a domain. We end the note with some examples of taut and complete hyperbolic domains arising from the study of domains with noncompact automorphisms group.

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