On some applications of Bogoliubov method for hyperbolic equations
Michał Kisielewicz (1975)
Annales Polonici Mathematici
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Displaying similar documents to “Intersecting pencil of hyperbolic circles”
On some applications of Bogoliubov method for hyperbolic equations
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Annales Polonici Mathematici
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Colloquium Mathematicae
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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.
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Romanov, V. G. (2003)
Sibirskij Matematicheskij Zhurnal
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The hyperbolic Carnot theorem in the Poincaré disc model of hyperbolic geometry.
Demirel, Oğuzhan, Soytürk, Emine (2008)
Novi Sad Journal of Mathematics
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Transformation of Hyperbolic Escher Patterns
Douglas Dunham (1999)
Visual Mathematics
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A sufficient condition for the well posedness of a Goursat problem
Carvalho e Silva, Jaime (1988)
Portugaliae mathematica
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Incidence Axioms for the Boundary at Infinity of Complex Hyperbolic Spaces
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.
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 general theory of hyperbolic functions based on the hyperbolic Fibonacci and Lucas functions and on Hilbert's Fourth Problem
Alexey Stakhov (2013)
Visual Mathematics
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The theorems of Stewart and Steiner in the Poincaré disc model of hyperbolic geometry
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.