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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Demirel, Oğuzhan, Soytürk, Emine (2008)
Novi Sad Journal of Mathematics
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Abraham A. Ungar (2004)
Commentationes Mathematicae Universitatis Carolinae
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Some gyrocommutative gyrogroups, also known as Bruck loops or K-loops, admit scalar multiplication, turning themselves into gyrovector spaces. The latter, in turn, form the setting for hyperbolic geometry just as vector spaces form the setting for Euclidean geometry. In classical mechanics the centroid of a triangle in velocity space is the velocity of the center of momentum of three massive objects with equal masses located at the triangle vertices. Employing gyrovector space techniques...
Michał Kisielewicz (1975)
Annales Polonici Mathematici
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Avalishvili, G., Gordeziani, D. (1999)
Bulletin of TICMI
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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. Kisyński (1970)
Colloquium Mathematicae
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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.
Ilija Knezević, Radmila Sazdanović, Srdjan Vukmirović (2002)
Visual Mathematics
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A. Szybiak (1975)
Colloquium Mathematicae
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Alexey Stakhov (2013)
Visual Mathematics
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