Conjugate mates for non-null Frenet curves

Year 2019, Volume: 23 Issue: 4, 600 - 604, 01.08.2019

Alev Kelleci

https://doi.org/10.16984/saufenbilder.494471

Cited By: 1

Abstract

For each non-null Frenet curve \gamma in Minkowski 3-space, there exists a unique unit speed non-null curve tangent

to the principal binormal vector field of \gamma. We briefly call this curve the conjugate mate of\gamma . The aim of this

paper is to prove some relationships between a non-null Frenet curve and its non-null conjugate mate.

Keywords

slant helix, conjugate mate, general helix, adjoint curve, Salkowski curve, anti-Salkowski curve

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