Some examples of discrete groups and hyperbolic orbifolds of infinite volume.
Klimenko, Elena (2001)
Journal of Lie Theory
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Klimenko, Elena (2001)
Journal of Lie Theory
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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.
Michael Kapovich, Bruce Kleiner (2000)
Annales scientifiques de l'École Normale Supérieure
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Ivanov, Nikolai V. (2002)
Annales Academiae Scientiarum Fennicae. Mathematica
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Michał Kisielewicz (1975)
Annales Polonici Mathematici
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Avalishvili, G., Gordeziani, D. (1999)
Bulletin of TICMI
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Demirel, Oğuzhan, Soytürk, Emine (2008)
Novi Sad Journal of Mathematics
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R. Krasnodębski (1970)
Colloquium Mathematicae
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Sudhanshu K. Ghoshal, Abha Ghoshal, M. Abu-Masood (1977)
Annales Polonici Mathematici
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J. E. Valentine, S. G. Wayment (1972)
Colloquium Mathematicae
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J. Kisyński (1970)
Colloquium Mathematicae
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Oğuzhan Demirel (2009)
Commentationes Mathematicae Universitatis Carolinae
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In [Comput. Math. Appl. 41 (2001), 135--147], A. A. Ungar employs the Möbius gyrovector spaces for the introduction of the hyperbolic trigonometry. This Ungar's work plays a major role in translating some theorems from Euclidean geometry to corresponding theorems in hyperbolic geometry. In this paper we explore the theorems of Stewart and Steiner in the Poincaré disc model of hyperbolic geometry.
Shyuichi Izumiya, Donghe Pei, Masatomo Takahashi (2004)
Banach Center Publications
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In the first part (Sections 2 and 3), we give a survey of the recent results on application of singularity theory for curves and surfaces in hyperbolic space. After that we define the hyperbolic canal surface of a hyperbolic space curve and apply the results of the first part to get some geometric relations between the hyperbolic canal surface and the centre curve.