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arxiv: math/0701370 · v1 · submitted 2007-01-13 · 🧮 math.GT · math.DG· math.GR

Kleinian groups in higher dimensions

classification 🧮 math.GT math.DGmath.GR
keywords groupskleiniandiscretehigher-dimensionalhyperbolicisometryaspectscontrast
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This is a survey of higher-dimensional Kleinian groups, i.e., discrete isometry groups of the hyperbolic n-space for n greater than 3. Our main emphasis is on the topological and geometric aspects of higher-dimensional Kleinian groups and their contrast with the discrete groups of isometry of the hyperbolic 3-space.

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