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|Title:||Dynamics of Local Automorphisms of Embedded CR-Manifolds||Contributor(s):||Kim, Kang - Tae (author); Schmalz, Gerd (author)||Publication Date:||2004||DOI:||10.1023/B:MATN.0000043473.56503.f3||Handle Link:||https://hdl.handle.net/1959.11/3954||Abstract:||A classical theorem due to Wong  states that the ball is the unique strictly pseudoconvex bounded domain having a noncompact automorphism group. Rosay  extended this theorem to bounded domains such that an orbit accumulates at a strictly pseudoconvex domain at the boundary. Later, Efimov  got rid of the boundedness assumption. Schoen  and, independently, Spiro  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||Other Links:||http://mi.mathnet.ru/rus/mz/v76/i3/p477||Statistics to Oct 2018:||Visitors: 137
|Appears in Collections:||Journal Article|
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