On Bishop frame of a null Cartan curve in Minkowski space-time
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Tarih
2018
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
World Scientific Publ Co Pte Ltd
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, we define the Bishop frame of a null Cartan curve in Minkowski space-time E-1(4). We obtain the Bishop's frame equations of a null Cartan curve which lies in the timelike hyperplane of E-1(4). We show that a null Cartan cubic lying in the timelike hyperplane of E-1(4) has two Bishop frames, one of which coincides with its Cartan frame. We also derive the Bishop's frame equation of the null Cartan curve which has the third Cartan curvature K-3(s) not equal 0. As an application, we find a solution of the null Betchov-Da Rios vortex filament equation in terms of a null Cartan curve and its Bishop frame, which generates a timelike Hasimoto surface.
Açıklama
Nesovic, Emilija/0000-0003-3600-0486
Anahtar Kelimeler
Bishop frame, Cartan frame, null Cartan curve, Minkowski space-time
Kaynak
International Journal Of Geometric Methods In Modern Physics
WoS Q Değeri
Q3
Scopus Q Değeri
Q2
Cilt
15
Sayı
8
Künye
closedAccess
