Torsion of a Unit Curve with Constant Angle to its Binormal

  IJMTT-book-cover
 
International Journal of Mathematics Trends and Technology (IJMTT)
 
© 2022 by IJMTT Journal
Volume-68 Issue-6
Year of Publication : 2022
Authors : Paul Ryan A. Longhas, Alsafat M. Abdul
 10.14445/22315373/IJMTT-V68I6P521

How to Cite?

Paul Ryan A. Longhas, Alsafat M. Abdul, " Torsion of a Unit Curve with Constant Angle to its Binormal ," International Journal of Mathematics Trends and Technology, vol. 68, no. 6, pp. 169-172, 2022. Crossref, https://doi.org/10.14445/22315373/IJMTT-V68I6P521

Abstract
In this article, we characterized all unit regular curve with constant angle to its binormal in terms of its torsion. Furthermore, we proved that if α is a unit regular curve defined on open interval with constant angle to its Binormal vector, then its torsion is equal to 0. Consequently, we give a condition when the tangent vector T of α lie in a plane.

Keywords : Torsion, Curve, Binormal, Constant Angle, Curvature.

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