Orthogonal Projections Based on Hyperbolic and Spherical n‐Simplex

Murat Savas, Baki Karliga and Atakan T. Yakut

Advances in Mathematical Physics, 2015, vol. 2015, issue 1

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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https://doi.org/10.1155/2015/808250

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlamp:v:2015:y:2015:i:1:n:808250

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