EXPLORING NEW DIRECTIONAL CURVES OF A SPACELIKE CURVE IN MINKOWSKI 3?SPACE
Küçük Resim Yok
Tarih
2024
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Asia Pacific Academic
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this study, we explore new associated curves in Minkowski 3?space E31 by using the Darboux frame {T, ?, ?} instead of Frenet frame {T, N, B} of the spacelike curve ? having a spacelike principal normal lying on a timelike surface M. These associated curves, denoted as¯Dn,¯Dr, and¯Do, lie in planes defined by {?, ?}, {T, ?}, and {T, ?}, respectively. We establish relationships between the Darboux frame and the curvatures kg, kn, ?g of the curve ? as well as the Frenet apparatus of the associated curves. Furthermore, we derive necessary and sufficient conditions for these associated curves to exhibit helical or spherical characteristics. Finally, we present relevant examples. © 2024 Asia Pacific Journal of Mathematics.
Açıklama
Anahtar Kelimeler
associated curves, helices, isophote curves, Minkowski 3?space, relatively normal-slant helices, spacelike curve, spherical curves
Kaynak
Asia Pacific Journal of Mathematics
WoS Q Değeri
Scopus Q Değeri
Q4
Cilt
11
