Automorphic quasimeromorphic mappings for torsionless hyperbolic groups
نویسندگان
چکیده
منابع مشابه
The Existence of Automorphic Quasimeromorphic Mappings
We give a complete characterization of all Kleinian groups G, acting on hyperbolic space Hn, that admit non-constant G-automorphic quasimeromorphic mappings, for any n ≥ 2. We also address the related problem of existence of qm-mappings on manifolds and prove the existence of such mappings on manifolds with boundary, of low differentiability class.
متن کاملThe Existence of Quasimeromorphic Mappings
We prove that a Kleinian group G acting upon H admits a nonconstant G-automorphic function, even if it has torsion elements, provided that the orders of the elliptic (torsion) elements are uniformly bounded. This is accomplished by developing a technique for mashing distinct fat triangulations while preserving fatness.
متن کاملThe Existence of Quasimeromorphic Mappings in Dimension
We prove that a Kleinian group G acting upon H admits a nonconstant G-automorphic function, even if it has torsion elements, provided that the orders of the elliptic (i.e torsion) elements are uniformly bounded. This is accomplished by developing a technique for meshing distinct fat triangulations while preserving fatness. We further show how to adapt the proof to higher dimensions.
متن کاملOn Value Distributions for Quasimeromorphic Mappings on H-type Carnot Groups
In the present paper we define quasimeromorphic mappings on homogeneous groups and study their properties. We prove an analogue of results of L. Ahlfors, R. Nevanlinna and S. Rickman, concerning the value distribution for quasimeromorphic mappings on H-type Carnot groups for parabolic and hyperbolic type domains. Introduction The classical value distribution theory for analytic functions w(z) s...
متن کاملThe Existence of Quasimeromorphic Mappings in Dimension 3
We prove that a Kleinian group G acting on H3 admits a nonconstant G-automorphic function, even if it has torsion elements, provided that the orders of the elliptic elements are uniformly bounded. This is accomplished by developing a method for meshing distinct fat triangulations which is fatness preserving. We further show how to adapt the proof to higher dimensions.
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ژورنال
عنوان ژورنال: Annales Academiae Scientiarum Fennicae. Series A. I. Mathematica
سال: 1985
ISSN: 0066-1953
DOI: 10.5186/aasfm.1985.1061