Conjugate mates for non-null Frenet curves

Authors : Alev KELLECİ

Pages : 600-604

Doi:10.16984/saufenbilder.494471

View : 20 | Download : 12

Publication Date : 2019-08-01

Article Type : Research Paper

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