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Title: Dynamics of Local Automorphisms of Embedded CR-Manifolds
Contributor(s): Kim, Kang - Tae (author); Schmalz, Gerd  (author)orcid 
Publication Date: 2004
DOI: 10.1023/B:MATN.0000043473.56503.f3
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Abstract: A classical theorem due to Wong [1] states that the ball is the unique strictly pseudoconvex bounded domain having a noncompact automorphism group. Rosay [2] extended this theorem to bounded domains such that an orbit accumulates at a strictly pseudoconvex domain at the boundary. Later, Efimov [3] got rid of the boundedness assumption. Schoen [4] and, independently, Spiro [5] proved the CR-version of this result, where the strict pseudoconvexity of the accumulation point of an orbit also plays a crucial role. In the present note, we suggest two local CR-versions of this result for hypersurfaces. These versions manifest different behavior depending on whether the Levi form is definite or not.
Publication Type: Journal Article
Source of Publication: Matematicheskie Zametki, 76(3), p. 447-480
Publisher: Izdatel'stvo Nauka
Place of Publication: Russian Federation
ISSN: 0025-567X
Field of Research (FOR): 010111 Real and Complex Functions (incl Several Variables)
Socio-Economic Objective (SEO): 970101 Expanding Knowledge in the Mathematical Sciences
Peer Reviewed: Yes
HERDC Category Description: C1 Refereed Article in a Scholarly Journal
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