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Título:
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Structure of Whittaker groups and applications to conformal involutions on handlebodies
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Autores:
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Díaz Sánchez, Raquel ;
Garijo, Ignacio ;
Hidalgo, Rubén A. ;
Gromadzki, G.
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Tipo de documento:
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texto impreso
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Editorial:
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Elsevier Science, 2010
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/restrictedAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Geometría
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Tipo = Artículo
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Resumen:
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The geometrically finite complete hyperbolic Riemannian metrics in the interior of a handlebody of genus g, having injectivity radius bounded away from zero, are exactly those produced by Schottky groups of rank g; these are called Schottky structures. A Whittakergroup of rank g is by definition a Kleinian groupK containing, as an index two subgroup, a Schottky group? of rank g. In this case, K corresponds exactly to a conformalinvolution on the handlebody with Schottky structure given by ?. In this paper we provide a structural description of Whittakergroups and, as a consequence of this, we obtain some facts concerning conformalinvolutions on handlebodies. For instance, we give a formula to count the type and the number of connected components of the set of fixed points of a conformalinvolution of a handlebody with a Schottky structure in terms of a group of automorphisms containing the conformalinvolution.
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En línea:
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https://eprints.ucm.es/id/eprint/15716/1/DiazRaquel07.pdf
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