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Vertex Angles of a Simplex in Hyperbolic Space H n

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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.

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Authors and Affiliations

  1. Department of Mathematics, Arts and Sciences Faculty, Gazi University, Ankara, Turkey

    Baki Karlıga

  2. Department of Mathematics, Arts and Sciences Faculty, Nigðde University, Nigðde, Turkey

    Atakan T. Yakut

Authors
  1. Baki Karlıga
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  2. Atakan T. Yakut
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Correspondence to Baki Karlıga.

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Karlıga, B., Yakut, A.T. Vertex Angles of a Simplex in Hyperbolic Space H n . Geom Dedicata 120, 49–58 (2006). https://doi.org/10.1007/s10711-006-9077-9

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  • DOI: https://doi.org/10.1007/s10711-006-9077-9

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