Investigating Spherical Images of a Curve According to Type-1 Bishop Frame in Weyl Space Using Prolonged Covariant Derivative
Küçük Resim Yok
Tarih
2021
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this study, we investigated spherical images of a curve according to type-1 Bishop frame in three dimensional Weyl space. Further, we expressed the relations among Frenet-Serret and type-1 Bishop frame apparatus. We defined the concepts of general helix, slant helix, spherical curve and also circle by using prolonged covariant derivative in Weyl space. Later, provided that these spherical images satisfy the above definitions, the conditions obtained were expressed in terms of first and second curvatures and hence Bishop curvatures. Additionally, parallel displacement condition of the binormal vector fields of the _{1}^{n} and _{2}^{n} Bishop spherical images of a curvealong their own tangent vector fields was discussed.
Açıklama
Anahtar Kelimeler
Kaynak
Avrupa Bilim ve Teknoloji Dergisi
WoS Q Değeri
Scopus Q Değeri
Cilt
0
Sayı
27
