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    Orthogonal Projections Based on Hyperbolic and Spherical n-Simplex
    (HINDAWI PUBLISHING CORP, 2015) Savas, Murat; Karliga, Baki; Yakut, Atakan T.
    Orthogonal projection along a geodesic to the chosen k-plane is introduced using edge and Gram matrix of an n-simplex in hyperbolic or spherical n-space. The distance from a point to k-plane is obtained by the orthogonal projection. It is also given the perpendicular foot from a point to k-plane of hyperbolic and spherical n-space.
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    Vertex angles of a simplex in hyperbolic space Hn
    (Springer, 2006) Karliga, Baki; Yakut, Atakan T.
    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.