Kim, Kang - Tae

Schmalz, Gerd

2004

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.

Matematicheskie Zametki, 76(3), p. 447-480

0025-567X

1067-9073

https://hdl.handle.net/1959.11/3954

Izdatel'stvo Nauka

Dynamics of Local Automorphisms of Embedded CR-Manifolds

Journal Article

Publication