New results concerning Cartan null and pseudo null curves in Minkowski 3-space
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Tarih
2023
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer Basel Ag
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this study, we focus on Cartan null and pseudo null curves in Minkowski 3-space E-1(3). Firstly we define Cartan null and pseudo null equivalent curves and give the related examples. Then we give a construction method for Cartan null curves and it is shown that every Cartan null curve can be obtained from a timelike curve lying in the Lorentz plane in E-1(3). Also a construction method is given for pseudo null curves and we show that all pseudo null curves lie in a lightlike plane in E-1(3). Finally we define a new surface in E-1(3) called surface of pseudo null curves and we obtain the geometric properties of such surfaces.
Açıklama
Anahtar Kelimeler
Minkowski 3-space; Parallel Frenet frames; Null curves; Pseudo null curves; Flat surface; Minimal surface
Kaynak
Journal of Geometry
WoS Q Değeri
Q2
Scopus Q Değeri
Q3
Cilt
114
Sayı
2
