Orthogonal Projections Based on Hyperbolic and Spherical n-Simplex
Metric Geometry
2014-12-24 v1
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.
Cite
@article{arxiv.1412.7368,
title = {Orthogonal Projections Based on Hyperbolic and Spherical n-Simplex},
author = {Baki Karliga and Murat Savas and Atakan T. Yakut},
journal= {arXiv preprint arXiv:1412.7368},
year = {2014}
}
Comments
13 pages