Visualization of the Lobachevskian Plane
Ilija Knezević, Radmila Sazdanović, Srdjan Vukmirović (2002)
Visual Mathematics
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Ilija Knezević, Radmila Sazdanović, Srdjan Vukmirović (2002)
Visual Mathematics
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Jarosław Kosiorek, Andrzej Matraś (2004)
Bulletin of the Polish Academy of Sciences. Mathematics
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The model of the Minkowski plane in the projective plane with a fixed conic sheds a new light on the connection between the Minkowski and hyperbolic geometries. The construction of the Minkowski plane in a hyperbolic plane over a Euclidean field is given. It is also proved that the geometry in an orthogonal bundle of circles is hyperbolic in a natural way.
Demirel, Oğuzhan, Soytürk, Emine (2008)
Novi Sad Journal of Mathematics
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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.
R. Krasnodębski (1970)
Colloquium Mathematicae
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Kántor, Sándor (1998)
Beiträge zur Algebra und Geometrie
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Michał Kisielewicz (1975)
Annales Polonici Mathematici
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Sergei Buyalo, Viktor Schroeder (2015)
Analysis and Geometry in Metric Spaces
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We characterize the boundary at infinity of a complex hyperbolic space as a compact Ptolemy space that satisfies four incidence axioms.
Avalishvili, G., Gordeziani, D. (1999)
Bulletin of TICMI
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Mouffak Benchohra, Sotiris K. Ntouyas (2002)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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In this paper, we investigate the existence of solutions on unbounded domain to a hyperbolic differential inclusion in Banach spaces. We shall rely on a fixed point theorem due to Ma which is an extension to multivalued between locally convex topological spaces of Schaefer's theorem.
J. Kisyński (1970)
Colloquium Mathematicae
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Sudhanshu K. Ghoshal, Abha Ghoshal, M. Abu-Masood (1977)
Annales Polonici Mathematici
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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.