Mannheim B-Curve Couples In Minkowski 3-Space

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Tarih

2020

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

TAMKANG UNIV

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

In this paper, we define null Cartan Mannheim and pseudo null Mannheim curves in Minkowski 3-space according to their Bishop frames. We obtain the necessary and the sufficient conditions for pseudo null curves to be Mannheim B-curves in terms of their Bishop curvatures. We prove that there are no null Cartan curves in Minkowski 3-space which are Mannheim B-curves, by considering the cases when their Mannheim B-mate curves are spacelike, timelike, null Cartan and pseudo null curves. Finally, we give some examples of pseudo null Mannheim B-curve pairs.

Açıklama

Nesovic, Emilija/0000-0003-3600-0486

Anahtar Kelimeler

Bishop frame, Mannheim curve, null Cartan curve, pseudo-null curve, Minkowski space

Kaynak

TAMKANG JOURNAL OF MATHEMATICS

WoS Q Değeri

N/A

Scopus Q Değeri

Q2

Cilt

51

Sayı

3

Künye

Ilarslan, K., Ucum, A., Nesovic, E., & Kılıc Aslan, N. (2020). Mannheim B-curve couples in Minkowski 3-space. Tamkang Journal of Mathematics, 51(3), 219–232.