ON THE DARBOUX ROTATION AXIS OF CURVES IN THREE-DIMENSIONAL LIE GROUPS
Küçük Resim Yok
Tarih
2023
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Univ Nis
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
This paper presents a study on the motion of the Darboux rotation axis for curves in three-dimensional Lie groups a bi-invariant metric using the Frenet frame. Our findings reveal that the motion of the axis can be resolved into two simultaneous rotational motions. Additionally, we develop a sequence of Darboux vectors that are useful in constructing uncomplicated mechanisms. We also introduce a curve with constant precession and conduct an exhaustive analysis of its characteristics.
Açıklama
Anahtar Kelimeler
Darboux axis, slant helix, a curve of constant precession, Lie groups
Kaynak
Facta Universitatis-Series Mathematics And Informatics
WoS Q Değeri
Q3
Scopus Q Değeri
Cilt
38
Sayı
3
