Geodesic
Invariant domains of holomorphy: Twenty years later
Informatics and Automation, Selected topics of mathematical physics and analysis, Tome 285 (2014), pp. 253-263

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This review is devoted to the domains of holomorphy invariant under holomorphic actions of real Lie groups. We have collected here the results on this subject obtained during the last twenty years, which have passed since the publication of the first review of the authors on this topic. This first review was mainly devoted to the case of compact transformation groups, while the first two sections of the present review deal mostly with noncompact groups. In Section 3 we discuss the problem of rigidity of automorphism groups of domains of holomorphy invariant under compact transformation groups. 
@article{TRSPY_2014_285_a16,
     author = {A. G. Sergeev and Xiangyu Zhou},
     title = {Invariant domains of holomorphy: {Twenty} years later},
     journal = {Informatics and Automation},
     pages = {253--263},
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     volume = {285},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2014_285_a16/}
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A. G. Sergeev; Xiangyu Zhou. Invariant domains of holomorphy: Twenty years later. Informatics and Automation, Selected topics of mathematical physics and analysis, Tome 285 (2014), pp. 253-263. http://geodesic.mathdoc.fr/item/TRSPY_2014_285_a16/