SLANT HELICES IN DUAL LORENTZIAN SPACE D3 1

Yıl 2016, Cilt: 2 Sayı: 1, 3 - 10, 02.04.2016

Derya Saglam , Serhat Ozkan Duygu Ozdamar

https://doi.org/10.20863/nsd.04519

Cited By: 1

Öz

In this paper, we consider a unit speed dual Lorentzian curve a in dual Lorentzian space D31 and denote by {T ,N, B } the dual Frenet frame of a. We say that a is a slant helix if there exists a non-zero dual constant vector …eld U in D 3 1 such that the dual function <N;U> is a dual constant.
Moreover, we give some characterizations of slant helice in terms of their dual
curvatures. Finally, we show that dual tangent indicatrices and dual binormal
indicatrices of slant helices are dual helices.

Anahtar Kelimeler

Dual Lorentzian space; Dual Frenet equations; Dual slant helices; Dual curves

Slant helices in dual Lorentzian Space

Öz

Kaynakça

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