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- W1985203755 abstract "For a domain in C, we denote by Aut() the group of holomorphic automorphisms of . It is obvious that Aut() is a topological group with respect to the law of composition and the compact-open topology. In particular, it is a theorem of H. Cartan that Aut() is in fact a Lie group if is bounded. In light of the outstanding question “Which domains possess noncompact automorphism group?” there is much interest focused upon the existence and nonexistence of orbits of the automorphism group action accumulating at a given boundary point. The well-known Greene–Krantz conjecture belongs to such a line of research. In this paper, we discuss the finite-type boundary points that repel automorphism orbits. Denote by τ6(q) the D’Angelo type (see [10]) at q of the real hypersurface 6 in C. Now we present our main theorem." @default.
- W1985203755 created "2016-06-24" @default.
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- W1985203755 date "2003-04-01" @default.
- W1985203755 modified "2023-10-18" @default.
- W1985203755 title "On the boundary accumulation points for the holomorphic automorphism groups" @default.
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- W1985203755 doi "https://doi.org/10.1307/mmj/1060013203" @default.
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