A new approach to curve couples with Bishop frame
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Dosyalar
Tarih
2024
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Ankara Univ, Fac Sci
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
. This paper presents a detailed study of a new generation of the Bishop frame with components including three orthogonal unit vectors, which are tangent vector, normal vector and binormal vector. It is a frame field described on a curve in Euclidean space, which is an alternative to the Frenet frame. It is useful for curves for which the second derivative is not available. Moreover, the conditions which the Bishop frame of one curve coincides with the Bishop frame of another curve are defined. It would be valuable to replicate similar approaches in the Bishop frame of one curve coincides with the Bishop frame of another curve.
Açıklama
Anahtar Kelimeler
Bishop frame; frame; curvature; regular curve; position vector
Kaynak
Communications Faculty of Sciences University of Ankara-Series A1 Mathematics and Statistics
WoS Q Değeri
N/A
Scopus Q Değeri
Cilt
73
Sayı
3
