Quasi-Isometries of Hyperbolic Space are Almost Isometries
نویسندگان
چکیده
منابع مشابه
Cosmic Crystallography: the Hyperbolic Isometries
All orientation preserving isometries of the hyperbolic three-space are studied, and the probability density of conjugate pair separations for each isometry is presented. The study is relevant for the cosmic crystallography, and is the theoretical counterpart of the mean histograms arising from computer simulations of the isome-tries.
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Abstract. Let GL(2,H) be the group of invertible 2 × 2 matrices over the division algebra H of quaternions. GL(2,H) acts on the hyperbolic 5-space as the group of orientation-preserving isometries. Using this action we give an algebraic characterization of the dynamical types of the orientation-preserving isometries of the hyperbolic 5-space. Along the way we also determine the conjugacy classe...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1995
ISSN: 0002-9939
DOI: 10.2307/2160961