Generalized Null Bertrand Curves In Minkowski Space-Time
Yükleniyor...
Tarih
2014
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Univ Al I Cuza, Fac Math
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
COKEN and CIFTCI proved that a null Cartan curve in Minkowski space-time E-1(4) is a null Bertrand curve if and only if k(2) is nonzero constant and k(3) is zero. That is, the null curve with non-zero curvature k(3) is not a Bertrand curve in Minkowski space-time E-1(4). So, in this paper we defined a new type of Bertrand curve in Minkowski space-time El for a null curve with non-zero curvature k(3) by using the similar idea of generalized Bertrand curve given by MATSUDA and YOROZU and we called it a null (1, 3)-Bertrand curve. Also, we proved that if a null curve with non-zero curvatures in Minkowski spacetime E-1(4) is a null (1, 3)-Bertrand curve then it is a null helix. We give an example of such curves.
Açıklama
Gok, Ismail/0000-0001-8407-133X
Anahtar Kelimeler
Minkowski space-time, null curve, Frenet vectors, Bertrand curves
Kaynak
Analele Stiintifice Ale Universitatii Al I Cuza Din Iasi-Serie Noua-Matematica
WoS Q Değeri
N/A
Scopus Q Değeri
Q4
Cilt
60
Sayı
2
Künye
closedAccess
