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Some curious Kleinian groups and hyperbolic 5-manifolds

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Abstract

We present a new family of discrete subgroups ofSO (5, 1) isomorphic to lattices inSO (3, 1). In some of the examples the limit sets are wildly knotted 2-spheres. As an application we produce complete hyperbolic 5-manifolds that are nontrivial plane bundles over closed hyperbolic 3-manifolds and conformally flat 4-manifolds that are nontrivial circle bundles over closed hyperbolic 3-manifolds.

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  1. Department of Mathematics, University of Maryland, 20742, College Park, MD

    I. Belegradek

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  1. I. Belegradek
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Belegradek, I. Some curious Kleinian groups and hyperbolic 5-manifolds. Transformation Groups 2, 3–29 (1997). https://doi.org/10.1007/BF01234629

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