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A Note on the Wong-Rosay Theorem in Complex Manifolds

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Abstract:

The authors prove a version, in utmost generality, of the Bun Wong-Rosay theorem on a complex manifold M. The essence of the result is that a domain $ \Omega \subseteq M $ with non-compact automorphism group and boundary orbit accumulation point that is strongly pseudoconvex must be biholomorphic to the unit ball in $ {\shadC}^n $.

Keywords: Complex manifold; Non-compact automorphism group; Orbit accumulation point; Strongly pseudoconvex

Document Type: Research Article

DOI: https://doi.org/10.1080/027810702103552791

Affiliations: 1: Université de Provence, Marseille, France 2: Department of Mathematics, Pohang University of Science and Technology, Pohang 790-784, The Republic of Korea 3: Department of Mathematics, Washington University in St Louis, Saint Louis, MO 63130, USA

Publication date: 2002-01-01

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