Orthogonal Projections Based on Hyperbolic and Spherical n-Simplex

Published 17 Dec 2014 in math.MG | (1412.7368v1)

Abstract: In this paper, 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 foots from a point to k-plane of hyperbolic and spherical n-space.

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