Geometric infiniteness in negatively pinched Hadamard manifolds

28 Jan 2019 Kapovich Michael Liu Beibei

We generalize Bonahon's characterization of geometrically infinite torsion-free discrete subgroups of PSL(2, $\mathbb{C}$) to geometrically infinite discrete isometry subgroups in the case of rank 1 symmetric spaces, and, under the assumption of bounded torsion, to the case of negatively pinched Hadamard manifolds. Every such geometrically infinite isometry subgroup $\Gamma$ has a set of nonconical limit points with cardinality of continuum...

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Categories


  • GROUP THEORY
  • DIFFERENTIAL GEOMETRY
  • GEOMETRIC TOPOLOGY