Orthogonal Projections Based on Hyperbolic and Spherical -Simplex

Murat Savas, Baki Karliga and Atakan T. Yakut

Advances in Mathematical Physics, 2015, vol. 2015, 1-6

Abstract:

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.

Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:808250

DOI: 10.1155/2015/808250

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