An examination on N − D* partner curves with common principal normal and Darboux vector in E^3.

Year 2021, Volume: 6 Issue: 2, 89 - 95, 30.09.2021

Süleyman Şenyurt , Şeyda Kılıçoglu

Abstract

In this paper we have defined and examined curves with common principal normal and Darboux vectors ; if the principal normal vector of first curve and Darboux vector of second curve are linearly dependent, then first curve has been called N − D* curve, and the second curve is called N − D* partner curve. These new curves are called N − D* pair curves. Also we give the Frenet-Serret apparatus of the second curve based on the Frenet-Serret apparatus of first curve.

Keywords

Darboux vector, Offset curves, Mannheim curves, Bertrand pairs

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