Journal ArticleDOI
When Does the Position Vector of a Space Curve Always Lie in Its Rectifying Plane
TLDR
3. S. Thomson, Real Analysis, Prentice Hall, Upper Saddle River, NJ, 1997.Abstract:
(2003). When Does the Position Vector of a Space Curve Always Lie in Its Rectifying Plane? The American Mathematical Monthly: Vol. 110, No. 2, pp. 147-152.read more
Citations
More filters
Journal ArticleDOI
Mannheim partner curves in 3-space ∗
Huili Liu,Fan Wang +1 more
TL;DR: In this paper, the necessary and sufficient conditions for the Mannheim partner curves in Euclidean space and Minkowski space were obtained for three-dimensional space, respectively, and some examples are also given.
Rectifying curves as centrodes and extremal curves
Bang-Yen Chen,Franki Dillen +1 more
TL;DR: In this paper, it is shown that rectifying curves are extremal curves which satisfy the equality case of a general inequality, and further geometric properties of rectifying curve are also presented.
Journal ArticleDOI
Associated curves of a Frenet curve and their applications
Jin Ho Choi,Young Ho Kim +1 more
TL;DR: The notion of the principal (binormal)-direction curve and principal-donor curve of a Frenet curve in E 3 is introduced and the relationship of curvature and torsion of its mates is given.
Journal Article
Some characterizations of rectifying curves in the minkowski 3-space
TL;DR: In this paper, the authors considered non-null and null rectifying curves, lying fully in the Minkowski 3-space E 3 1, and considered a causal character of a curve.
References
More filters
Book
The Geometry of Submanifolds
TL;DR: In this paper, the authors present a comprehensive presentation of the geometry of submanifolds that expands on classical results in the theory of curves and surfaces, starting from the idea of the extrinsic geometry of a surface.
Journal ArticleDOI