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- W3123954947 abstract "For convex domains with C 1 , ε boundary we give a precise description of the automorphism group: if an orbit of the automorphism group accumulates on at least two different closed complex faces of the boundary, then the automorphism group has finitely many components and the connected component of the identity is the almost direct product of a compact group and a non-compact connected simple Lie group with real rank one and finite center. In this case, we also show the limit set is homeomorphic to a sphere and prove a gap theorem: either the domain is biholomorphic to the unit ball (and the limit set is the entire boundary) or the limit set has co-dimension at least two in the boundary." @default.
- W3123954947 created "2021-02-01" @default.
- W3123954947 creator A5078044336 @default.
- W3123954947 date "2021-01-21" @default.
- W3123954947 modified "2023-10-17" @default.
- W3123954947 title "The automorphism group and limit set of a bounded domain II: the convex case" @default.
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- W3123954947 doi "https://doi.org/10.1112/jlms.12435" @default.
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