Research Article
Year 2019,
Volume: 68 Issue: 1, 277 - 282, 01.02.2019
Abstract
References
- O'Neill, B., Semi-Riemannian Geometry with Applications to Relativity, Academic Press, New York, 1983.
- Turgut, M. and Yılmaz S., Some characterizations of partially null curves in Semi-Euclidean Space, International Mathematical Forum, (2008), 32(3), 1569-1574.
- Petrovic-Torgasev M., İlarslan, K. and Nesovic E., On partially null and pseudo null curves in the Semi-Euclidean space R₂^{4 }, J. Geom., (2005), 84, 106-116.
- Yılmaz, S. and Turgut M., On Frenet apparatus of partially null curves in Semi-Euclidean space, Scientia Magna, (2008), 4(2), 39-44.
- Petrovic-Torgasev, M. and Sucurovic E., Some characterizations of the spacelike, the timelike and the null curves on the pseudohyperbolic space H₀² in E₁³, Kragujevac J. Math., (2000), 22, 71-82.
- İyigün, E. and Arslan K., On harmonic curvatures of curves in Lorentzian n-space, Commun. Fac. Sci.Univ. Ank. Series A1., (2005), 54(1), 29-34.
Year 2019,
Volume: 68 Issue: 1, 277 - 282, 01.02.2019
Abstract
In this paper, we study with Frenet equations which are given in [3] of a partially null curve in Semi- Euclidean 4-space E₂⁴ with index 2. By using the Frenet equations, we give some theorem and corollary. A characterization of a hyperbolic partially null curve in E₂⁴ is given. Additionally, we examine harmonic curvatures and curvatures of this curve in E₂⁴
References
- O'Neill, B., Semi-Riemannian Geometry with Applications to Relativity, Academic Press, New York, 1983.
- Turgut, M. and Yılmaz S., Some characterizations of partially null curves in Semi-Euclidean Space, International Mathematical Forum, (2008), 32(3), 1569-1574.
- Petrovic-Torgasev M., İlarslan, K. and Nesovic E., On partially null and pseudo null curves in the Semi-Euclidean space R₂^{4 }, J. Geom., (2005), 84, 106-116.
- Yılmaz, S. and Turgut M., On Frenet apparatus of partially null curves in Semi-Euclidean space, Scientia Magna, (2008), 4(2), 39-44.
- Petrovic-Torgasev, M. and Sucurovic E., Some characterizations of the spacelike, the timelike and the null curves on the pseudohyperbolic space H₀² in E₁³, Kragujevac J. Math., (2000), 22, 71-82.
- İyigün, E. and Arslan K., On harmonic curvatures of curves in Lorentzian n-space, Commun. Fac. Sci.Univ. Ank. Series A1., (2005), 54(1), 29-34.
There are 6 citations in total.
Details
| Primary Language | English |
|---|---|
| Journal Section | Review Articles |
| Authors | |
| Publication Date | February 1, 2019 |
| Submission Date | November 7, 2017 |
| Acceptance Date | December 26, 2017 |
| Published in Issue | Year 2019 Volume: 68 Issue: 1 |
Cite
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.
