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Vertex Angles of a Simplex in Hyperbolic Space H n
Authors:Baki Karlıga  Atakan T Yakut
Institution:(1) Department of Mathematics, Arts and Sciences Faculty, Gazi University, Ankara, Turkey;(2) Department of Mathematics, Arts and Sciences Faculty, Nigede University, Nigede, Turkey
Abstract:For an n-simplex in H n or S n , we give sine theorems and their results for kth-order vertex angles which are defined in this paper. The Gram and edge matrices, and polar simplex of n-simplex in H n or S n are used to prove the theorems and their results.
Keywords:Vertex angle  Sine theorem  Hyperbolic simplex
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