Displaying similar documents to “On hyperbolic cones and mixed symmetric spaces.”

Regenerating hyperbolic cone 3-manifolds from dimension 2

Joan Porti (2013)

Annales de l’institut Fourier

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We prove that a closed 3-orbifold that fibers over a hyperbolic polygonal 2-orbifold admits a family of hyperbolic cone structures that are viewed as regenerations of the polygon, provided that the perimeter is minimal.

On the relationship between hyperbolic and cone-hyperbolic structures in metric spaces

Marcin Mazur (2013)

Annales Polonici Mathematici

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We give necessary and sufficient conditions for topological hyperbolicity of a homeomorphism of a metric space, restricted to a given compact invariant set. These conditions are related to the existence of an appropriate finite covering of this set and a corresponding cone-hyperbolic graph-directed iterated function system.

Boundaries of right-angled hyperbolic buildings

Jan Dymara, Damian Osajda (2007)

Fundamenta Mathematicae

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We prove that the boundary of a right-angled hyperbolic building is a universal Menger space. As a consequence, the 3-dimensional universal Menger space is the boundary of some Gromov-hyperbolic group.