Orthogonal Projections Based on Hyperbolic and Sphericaln-Simplex-Reference-Cited by-同舟云学术

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Orthogonal Projections Based on Hyperbolic and Sphericaln-Simplex

Published:2015 Issue: Volume:2015 Page:1-6
ISSN:1687-9120
Container-title:Advances in Mathematical Physics
language:en
Short-container-title:Advances in Mathematical Physics

Author:

Savas Murat¹,Karliga Baki¹,Yakut Atakan T.²

Affiliation:

1. Department of Mathematics, Faculty of Science, Gazi University, 06500 Ankara, Turkey

2. Department of Mathematics, Art and Sciences Faculty, Nigde University, 51100 Nigde, Turkey

Abstract

Orthogonal projection along a geodesic to the chosenk-plane is introduced using edge and Gram matrix of ann-simplex in hyperbolic or sphericaln-space. The distance from a point tok-plane is obtained by the orthogonal projection. It is also given the perpendicular foot from a point tok-plane of hyperbolic and sphericaln-space.

Publisher

Hindawi Limited

Subject

Applied Mathematics,General Physics and Astronomy

Link

http://downloads.hindawi.com/journals/amp/2015/808250.pdf

Reference14 articles.

1. Vertex Angles of a Simplex in Hyperbolic Space H n

2. Projections of hypersurfaces in the hyperbolic space to hyperhorospheres and hyperplanes

3. Families of Maps from the Plane to The Plane

4. Singularities of systems of rays

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Synthetic geometry in hyperbolic simplices;Involve, a Journal of Mathematics;2022-12-31

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