ON CERTAIN SPACE CURVES DUE TO PARALLEL TRANSPORT FRAME IN En
Küçük Resim Yok
Tarih
2025
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Univ Nis
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper, we study k-type (k is an element of {0, 1, 2, ...., n-1}) slant helices due to non-zero parallel transport frame in E-n. We give some characterizations for 0-type, 1-type,..., and in general (n-1)-type slant helix due to parallel transport frame in terms of parallel transport curvatures in E-n and with the aid of these characterizations we give an important general theorem which gives the necessary and sufficient condition for any space curve to be k-type slant helices due to parallel transport frame in E-n. We also obtain the characterizations of the curves whose position vectors belong to the normal, rectifying and osculating spaces (called normal, rectifying and osculating curves, respectively) due to parallel transport frame in E-n.
Açıklama
Anahtar Kelimeler
parallel transport frame, k -type slant helix, normal curve, rectifying curve
Kaynak
Facta Universitatis-Series Mathematics and Informatics
WoS Q Değeri
Q4
Scopus Q Değeri
Cilt
40
Sayı
2
