Extended Darboux frame curvatures of Renet curves lying on parametric 3-surfaces
Kuwait Journal of Science, vol.46, no.1, pp.15-23, 2019 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 46 Issue: 1
- Publication Date: 2019
- Journal Name: Kuwait Journal of Science
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.15-23
- Keywords: Darboux frame, Frenet curve, Geodesic curvature, Geodesic torsion, Hypersurface
- Yıldız Technical University Affiliated: Yes
Abstract
In this paper, we consider a Frenet curve lying on a parametric hypersurface in a 4-dimensional Euclidean space and obtain the expressions of its curvatures with respect to the hypersurface.