On harmonic curvatures of a frenet curve

Year 2000, Volume: 49 , 0 - 0, 01.01.2000

K. Arslan

https://doi.org/10.1501/Commua1_0000000374

Abstract

In this paper we craısider hannonic curvatures of a Frenet curve of osculating order d. We also consider a general helix of AW(k) type where k=l,2 and 3. We have show that, there is no general helix of AW(3)type. We also show that, a general helix of rank 1 and of AW(3) type must be a circular helix.
We give curvature conditions of the curves, whid) have AW(2) prt^aty. In the final part, we visualize the plane and space curves of (weak) AW(2) type.

Keywords

harmonic curvatures, frenet curve, Statistics

References

• Ankara Üniversitesi – Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Dergisi