Hyperbolic 2-Dimensional Manifolds with 3-Dimensional Automorphism Groups II
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چکیده
Let M be a Kobayashi-hyperbolic 2-dimensional complex manifold and Aut(M) the group of holomorphic automorphisms of M . We showed earlier that if dimAut(M) = 3, then Aut(M)-orbits are closed submanifolds in M of (real) codimension 1 or 2. In a preceding article we classified all such manifolds in the case when every orbit has codimension 1. In the present paper we complete the classification by considering the case when codimension 2 orbits are present. This paper finalizes our work on classifying Kobayashi-hyperbolic n-dimensional manifolds, n ≥ 2, with automorphism groups of dimension at least
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تاریخ انتشار 2005