Research Article

On harmonic curvatures of a frenet curve

Volume: 49 January 1, 2000
  • K. Arslan
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics Cover
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics
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On harmonic curvatures of a frenet curve

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

References

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

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

K. Arslan This is me
Türkiye

Publication Date

January 1, 2000

Submission Date

January 1, 2000

Acceptance Date

-

Published in Issue

Year 2000 Volume: 49

DOI

https://doi.org/10.1501/Commua1_0000000374

IZ

https://izlik.org/JA48YR36RM

Cite

RIS / Bibtex
APA
Arslan, K. (2000). On harmonic curvatures of a frenet curve. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 49. https://doi.org/10.1501/Commua1_0000000374
AMA
1.Arslan K. On harmonic curvatures of a frenet curve. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2000;49. doi:10.1501/Commua1_0000000374
Chicago
Arslan, K. 2000. “On Harmonic Curvatures of a Frenet Curve”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 49 (January). https://doi.org/10.1501/Commua1_0000000374.
EndNote
Arslan K (January 1, 2000) On harmonic curvatures of a frenet curve. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 49
IEEE
[1]K. Arslan, “On harmonic curvatures of a frenet curve”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 49, Jan. 2000, doi: 10.1501/Commua1_0000000374.
ISNAD
Arslan, K. “On Harmonic Curvatures of a Frenet Curve”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 49 (January 1, 2000). https://doi.org/10.1501/Commua1_0000000374.
JAMA
1.Arslan K. On harmonic curvatures of a frenet curve. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2000;49. doi:10.1501/Commua1_0000000374.
MLA
Arslan, K. “On Harmonic Curvatures of a Frenet Curve”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 49, Jan. 2000, doi:10.1501/Commua1_0000000374.
Vancouver
1.K. Arslan. On harmonic curvatures of a frenet curve. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2000 Jan. 1;49. doi:10.1501/Commua1_0000000374

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Mathematical Sciences and Applications E-Notes

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Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

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