Generalized Bertrand Curves with Spacelike (1,3)-Normal Plane in Minkowski Space-Time
Yükleniyor...
Tarih
2016
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Scientific Technical Research Council Turkey-Tubitak
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper, we reconsider the (1, 3)-Bertrand curves with respect to the casual characters of a (1, 3)-normal plane that is a plane spanned by the principal normal and the second binormal vector fields of the given curve. Here, we restrict our investigation of (1, 3)-Bertrand curves to the spacelike (1, 3)-normal plane in Minkowski space-time. We obtain the necessary and sufficient conditions for the curves with spacelike (1, 3)-normal plane to be (1, 3)-Bertrand curves and we give the related examples for these curves.
Açıklama
Anahtar Kelimeler
Bertrand curve, Minkowski space-time, Frenet planes
Kaynak
Turkish Journal Of Mathematics
WoS Q Değeri
Q4
Scopus Q Değeri
Q2
Cilt
40
Sayı
3
Künye
Uçum A, Keçilioğlu O, İlarslan K (2016). Generalized Bertrand Curves with Spacelike (1,3)-Normal Plane in Minkowski Space-Time. Turkish Journal of Mathematics, 40(3), 487 - 505.
