Turkish Journal of Mathematics
DOI
10.3906/mat-1609-86
Abstract
Rotation minimizing (RM) vector fields and frames were introduced by Bishop as an alternative to the Frenet frame. They are used in CAGD because they can be defined even when the curvature vanishes. Nevertheless, many other geometric properties have not been studied. In the present paper, RM vector fields along a curve immersed into a Riemannian manifold are studied when the ambient manifold is the Euclidean 3-space, the hyperbolic 3-space, and a Kähler manifold.
Keywords
Rotation minimizing, hyperbolic space, developable surface, evolute, Kähler manifold, magnetic curve
First Page
121
Last Page
130
Recommended Citation
ETAYO, FERNANDO
(2018)
"Geometric properties of rotation minimizing vector fields along curves in Riemannian manifolds,"
Turkish Journal of Mathematics: Vol. 42:
No.
1, Article 11.
https://doi.org/10.3906/mat-1609-86
Available at:
https://journals.tubitak.gov.tr/math/vol42/iss1/11
