On the automorphism groups of convex domains in C
نویسنده
چکیده
We establish that every bounded convex domain in C with an automorphism orbit accumulation at a boundary point at which the domain has a sphere contact from inside admits a non-compact 1-parameter subgroup of automorphisms. Notice that this in particular implies that no Teichmüller domain of a Riemann surface of genus g > 1 can be holomorphically imbedded as a convex domain in C .
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