On generalized Darboux frame of a spacelike curve lying on a lightlike surface in Minkowski space E31 Dedicated to the memory of Professor Emeritus Krishan Lal Duggal
Küçük Resim Yok
Tarih
2023
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Scientific and Technological Research Council Turkey
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper we introduce generalized Darboux frame of a spacelike curve alpha lying on a lightlike surface in Minkowski space E31 . We prove that alpha has two such frames and obtain generalized Darboux frame's equations. We find the relations between the curvature functions kg, kn , tau g of alpha with respect to its Darboux frame and the curvature functions k similar to g, k similar to n , tau similar to g with respect to generalized Darboux frames. We show that such frames exist along a spacelike straight line lying on a ruled surface which is not entirely lightlike, but contains some lightlike points. We define lightlike ruled surfaces on which the tangent and the binormal indicatrix of a null Cartan curve are the principal curvature lines having tau similar to g = 0 and give some examples.
Açıklama
Serbian Ministry of Education, Science and Technological Development(Ministry of Education, Science & Technological Development, Serbia)
Anahtar Kelimeler
Generalized Darboux Frame, Spacelike Curve, Darboux Frame, Lightlike Surface, Minkowski Space, Hypersurface
Kaynak
Turkish Journal of Mathematics
WoS Q Değeri
Q2
Scopus Q Değeri
Q2
Cilt
47
Sayı
2
Künye
DJORDJEVIC, J., NESOVIC, E., & ÖZTÜRK, U. (2023). On generalized Darboux frame of a spacelike curve lying on a lightlike surface in Minkowski space $\mathbb {E}^{3} _ {1} $. Turkish Journal of Mathematics, 47(2), 883-897.
