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Year 2019, Volume: 68 Issue: 1, 277 - 282, 01.02.2019
https://doi.org/10.31801/cfsuasmas.451636

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.

A Study on a Partially Null Curve in E₂⁴

Year 2019, Volume: 68 Issue: 1, 277 - 282, 01.02.2019
https://doi.org/10.31801/cfsuasmas.451636

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

Esen İyigün 0000-0001-6821-0248

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

APA İyigün, E. (2019). A Study on a Partially Null Curve in E₂⁴. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 68(1), 277-282. https://doi.org/10.31801/cfsuasmas.451636
AMA İyigün E. A Study on a Partially Null Curve in E₂⁴. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. February 2019;68(1):277-282. doi:10.31801/cfsuasmas.451636
Chicago İyigün, Esen. “A Study on a Partially Null Curve in E₂⁴”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68, no. 1 (February 2019): 277-82. https://doi.org/10.31801/cfsuasmas.451636.
EndNote İyigün E (February 1, 2019) A Study on a Partially Null Curve in E₂⁴. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 1 277–282.
IEEE E. İyigün, “A Study on a Partially Null Curve in E₂⁴”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 68, no. 1, pp. 277–282, 2019, doi: 10.31801/cfsuasmas.451636.
ISNAD İyigün, Esen. “A Study on a Partially Null Curve in E₂⁴”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68/1 (February 2019), 277-282. https://doi.org/10.31801/cfsuasmas.451636.
JAMA İyigün E. A Study on a Partially Null Curve in E₂⁴. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68:277–282.
MLA İyigün, Esen. “A Study on a Partially Null Curve in E₂⁴”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 68, no. 1, 2019, pp. 277-82, doi:10.31801/cfsuasmas.451636.
Vancouver İyigün E. A Study on a Partially Null Curve in E₂⁴. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68(1):277-82.

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

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