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2018 An Examination of Perpendicular Intersections of BFRS and MFRS in $E^3$
Şeyda Kılıçoğlu, Süleyman Şenyurt
J. Geom. Symmetry Phys. 48(none): 33-45 (2018). DOI: 10.7546/jgsp-48-2018-33-45

Abstract

We already have defined and found the parametric equations of Frenet ruled surfaces which are called Bertrandian Frenet Ruled Surfaces (BFRS) and Mannheim Frenet Ruled Surfaces (MFRS) of a curve $\alpha ,$ in terms of the Frenet apparatus. In this paper, we find a matrix which gives us all sixteen positions of normal vector fields of eight BFRS and MFRS in terms of the Frenet apparatus. Further using the orthogonality conditions of the eight normal vector fields, we give perpendicular intersection curves of the eight BFRS and MFRS.

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Şeyda Kılıçoğlu. Süleyman Şenyurt. "An Examination of Perpendicular Intersections of BFRS and MFRS in $E^3$." J. Geom. Symmetry Phys. 48 33 - 45, 2018. https://doi.org/10.7546/jgsp-48-2018-33-45

Information

Published: 2018
First available in Project Euclid: 24 May 2018

zbMATH: 06944471
MathSciNet: MR3822799
Digital Object Identifier: 10.7546/jgsp-48-2018-33-45

Rights: Copyright © 2018 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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