The Principles of Elliptic and Hyperbolic Analysis
Alexander Macfarlane
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Alexander Macfarlane
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Bochorishvili, R., Jaiani, D. (1999)
Bulletin of TICMI
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J. Aramayona (2006)
Disertaciones Matemáticas del Seminario de Matemáticas Fundamentales
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Ivanov, Nikolai V. (2002)
Annales Academiae Scientiarum Fennicae. Mathematica
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Klimenko, Elena (2001)
Journal of Lie Theory
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Bumagin, Inna (2004)
Algebraic & Geometric Topology
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P. Papasoglu (1995)
Inventiones mathematicae
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Robertson, Guyan (1998)
Journal of Lie Theory
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Marcel Hagelberg, Rubén A. Hidalgo (1997)
Revista Matemática Iberoamericana
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In this note we construct examples of geometric 3-orbifolds with (orbifold) fundamental group isomorphic to a (Z-extension of a) generalized Coxeter group. Some of these orbifolds have either euclidean, spherical or hyperbolic structure. As an application, we obtain an alternative proof of theorem 1 of Hagelberg, Maclaughlan and Rosenberg in [5]. We also obtain a similar result for generalized Coxeter groups.
Robertson, Guyan (1998)
Journal of Lie Theory
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Piotr Przytycki (2007)
Fundamenta Mathematicae
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We prove that if a group acts properly and cocompactly on a systolic complex, in whose 1-skeleton there is no isometrically embedded copy of the 1-skeleton of an equilaterally triangulated Euclidean plane, then the group is word-hyperbolic. This was conjectured by D. T. Wise.
Doyle, Peter G., Rossetti, Juan Pablo (2008)
The New York Journal of Mathematics [electronic only]
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Kapovich, Ilya (1995)
The New York Journal of Mathematics [electronic only]
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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.