Hyperbolic 2–dimensional manifolds with 3–dimensional automorphism group
نویسندگان
چکیده
منابع مشابه
Hyperbolic Manifolds of Dimension n with Automorphism Group of Dimension
We consider complex Kobayashi-hyperbolic manifolds of dimension n ≥ 2 for which the dimension of the group of holomorphic au-tomorphisms is equal to n 2 − 1. We give a complete classification of such manifolds for n ≥ 3 and discuss several examples for n = 2. 0 Introduction Let M be a connected complex manifold and Aut(M) the group of holomor-phic automorphisms of M. If M is Kobayashi-hyperboli...
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We obtain a complete classification of complex Kobayashi-hyperbolic manifolds of dimension n ≥ 2, for which the dimension of the group of holomorphic automorphisms is equal to n 2 .
متن کاملHyperbolic 2-Dimensional Manifolds with 3-Dimensional Automorphism Group
If M is a connected n-dimensional Kobayashi-hyperbolic complex manifold, then the group Aut(M) of holomorphic automorphisms of M is a (real) Lie group in the compact-open topology, of dimension d(M) not exceeding n + 2n, with the maximal value occurring only for manifolds holomorphically equivalent to the unit ball B ⊂ C [Ko1], [Ka]. We are interested in describing hyperbolic manifolds with low...
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متن کاملHyperbolic 2-Dimensional Manifolds with 3-Dimensional Automorphism Groups I
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 this paper we classify all connected Kobayashi-hyperbolic 2-dimensional manifolds with 3-dimensional automorphism groups in the case when every orbit has c...
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ژورنال
عنوان ژورنال: Geometry & Topology
سال: 2008
ISSN: 1364-0380,1465-3060
DOI: 10.2140/gt.2008.12.643