Some characterizations of osculating curves in the Euclidean spaces
[ X ]
Tarih
2008
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Walter de Gruyter GmbH
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, we give some characterization for a osculating curve in 3-dimensional Euclidean space and we define a osculating curve in the Euclidean 4-space as a curve whose position vector always lies in orthogonal complement B1 ? of its first binormal vector field Si. In particular, we study the osculating curves in E4 and characterize such curves in terms of their curvature functions. © 2008 Warsaw University. All rights reserved.
Açıklama
Anahtar Kelimeler
Frenet equations, Osculating curve, Planar curve and curvature
Kaynak
Demonstratio Mathematica
WoS Q Değeri
Scopus Q Değeri
Q1
Cilt
41
Sayı
4
