On harmonic curvatures of a frenet curve

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.

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  • Ankara Üniversitesi – Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Dergisi
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics-Cover
  • ISSN: 1303-5991
  • Yayın Aralığı: Yılda 4 Sayı
  • Başlangıç: 1948
  • Yayıncı: Ankara Üniversitesi