Mannheim B-Curve Couples In Minkowski 3-Space
Yükleniyor...
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.