F. Deng, Zhou Xiang Yu, “Rigidity of automorphism groups of invariant domains in homogeneous Stein spaces”, Izv. RAN. Ser. Mat., 2014, Volume 78, Issue 1,Pages <nobr>37

This article is cited in 4 papers

Rigidity of automorphism groups of invariant domains in homogeneous Stein spaces

F. Deng^a, Zhou Xiang Yu^bc

^a Graduate University of the Chinese Academy of Sciences, Beijing
^b Institute of Mathematics, Academia Sinica
^c HUA Loo-Keng Key Laboratory of Mathematics, Chinese Academy of Sciences

Abstract: For a large class of Stein manifolds which are homogeneous under a complex reductive Lie group, we prove a rigidity property of the automorphism groups of domains invariant with respect to a compact form of this complex group.

Keywords: homogeneous Stein manifold, holomorphic automorphism group.

UDC: 517.553

MSC: 14L30, 22E10, 32E10, 32M10, 32Q28, 53C30

Received: 08.03.2012

DOI: 10.4213/im7977