An application of metric diophantine approximation in hyperbolic space to quadratic forms.

Título inglés	An application of metric diophantine approximation in hyperbolic space to quadratic forms.
Título español	Una aplicación de la aproximación diofántica métrica en el espacio hiperbólico a las formas cuadráticas.
Autor/es	Velani, Sanju L.
Organización	Dep. Math. Univ. York, Heslington, Reino Unido
Revista	0214-1493
Publicación	1994, 38 (1): 175-185, 14 Ref.
Tipo de documento	articulo
Idioma	Inglés
Resumen inglés	For any real τ, a lim sup set WG,y(τ) of τ-(well)-approximable points is defined for discrete groups G acting on the Poincaré model of hyperbolic space. Here y is a 'distinguished point' on the sphere at infinity whose orbit under G corresponds to the rationals (which can be regarded as the orbit of the point at infinity under the modular group) in the classical theory of diophantine approximation. In this paper the Hausdorff dimension of the set WG,y(τ) is determined for geometrically finite groups of the first kind. Consequently, by considering the hyperboloid model of hyperbolic space, this result is shown to have a natural but non trivial interpretation in terms of quadratic forms.
Clasificación UNESCO	120503
Palabras clave español	Formas cuadráticas ; Problemas diofánticos ; Espacio hiperbólico
Código MathReviews	MR1291959
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