Edge Matrix of Hyperbolic Simplices |
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| Authors: | Baki Karliğa |
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| Institution: | (1) Department of Mathematics, Arts and Sciences Faculty, Gazi University, 06500 Teknikokullar Ankara, Turkey |
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| Abstract: | In this paper, by using the dual problem which was solved by Feng Luo (Geom. Dedicata 64 (1997), 277–282) and a new method, we give necessary and sufficient conditions for given (n(n+1)) /2 positive real numbers to be the edge lengths of a hyperbolic n-simplex. By using determinants, we also give necessary and sufficient conditions for given (n(n+1)) /2 positive real numbers to be the edge lengths of a spherical n-simplex.Mathematics Subject Classifications (2000). 51M04, 51M05, 51M20, 51M25, 52A38, 52A37, 52B10. |
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| Keywords: | edge matrix simplices hyperbolic edge length |
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