ON INVARIANT DOMAINS IN CERTAIN COMPLEX HOMOGENEOUS SPACES

Authors
ZHOU XY
Citation
Xy. Zhou, ON INVARIANT DOMAINS IN CERTAIN COMPLEX HOMOGENEOUS SPACES, Annales de l'Institut Fourier, 47(4), 1997, pp. 1101
Citations number
34
Journal title
Annales de l'Institut Fourier → ACNP
ISSN journal
03730956
Volume
47
Issue
4
Year of publication
1997
Database
ISI
SICI code
0373-0956(1997)47:4<1101:OIDICC>2.0.ZU;2-1
Abstract
Given a compact connected Lie group K. For a relatively compact K-inva riant domain D in a Stein K-C-homogeneous space, we prove that the aut omorphism group of D is compact and if K is semisimple, a proper holom orphic self mapping of D is biholomorphic.