An example of the absence of a global solution to some inverse problem for a hyperbolic equation.
Romanov, V. G. (2003)
Sibirskij Matematicheskij Zhurnal
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Romanov, V. G. (2003)
Sibirskij Matematicheskij Zhurnal
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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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Avalishvili, G., Gordeziani, D. (1999)
Bulletin of TICMI
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Michał Kisielewicz (1975)
Annales Polonici Mathematici
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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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Carvalho e Silva, Jaime (1988)
Portugaliae mathematica
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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.
Grigolia, M. (1999)
Memoirs on Differential Equations and Mathematical Physics
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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.