Soit un groupe de Lie connexe compact. Pour un domaine , -invariant et relativement compact dans un espace homogène de Stein , nous montrons que le groupe des automorphismes de est compact et si est semi-simple, une application holomorphe propre de est biholomorphe.
Given a compact connected Lie group . For a relatively compact -invariant domain in a Stein -homogeneous space, we prove that the automorphism group of is compact and if is semisimple, a proper holomorphic self mapping of is biholomorphic.
@article{AIF_1997__47_4_1101_0, author = {Zhou, Xiang-Yu}, title = {On invariant domains in certain complex homogeneous spaces}, journal = {Annales de l'Institut Fourier}, pages = {1101--1115}, publisher = {Association des Annales de l{\textquoteright}institut Fourier}, volume = {47}, number = {4}, year = {1997}, doi = {10.5802/aif.1593}, zbl = {0881.32015}, mrnumber = {99a:32045}, language = {en}, url = {https://aif.centre-mersenne.org/articles/10.5802/aif.1593/} }
TY - JOUR AU - Zhou, Xiang-Yu TI - On invariant domains in certain complex homogeneous spaces JO - Annales de l'Institut Fourier PY - 1997 SP - 1101 EP - 1115 VL - 47 IS - 4 PB - Association des Annales de l’institut Fourier UR - https://aif.centre-mersenne.org/articles/10.5802/aif.1593/ DO - 10.5802/aif.1593 LA - en ID - AIF_1997__47_4_1101_0 ER -
%0 Journal Article %A Zhou, Xiang-Yu %T On invariant domains in certain complex homogeneous spaces %J Annales de l'Institut Fourier %D 1997 %P 1101-1115 %V 47 %N 4 %I Association des Annales de l’institut Fourier %U https://aif.centre-mersenne.org/articles/10.5802/aif.1593/ %R 10.5802/aif.1593 %G en %F AIF_1997__47_4_1101_0
Zhou, Xiang-Yu. On invariant domains in certain complex homogeneous spaces. Annales de l'Institut Fourier, Tome 47 (1997) no. 4, pp. 1101-1115. doi : 10.5802/aif.1593. https://aif.centre-mersenne.org/articles/10.5802/aif.1593/
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