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NON-NULL NORMAL CURVES IN THE SEMI-EUCLIDEAN SPACE E2^4

Year 2021, Volume: 7 Issue: 1, 137 - 140, 29.06.2021
https://doi.org/10.22531/muglajsci.852180

Abstract

In this study, the representation formulas of non-null curves are primarily expressed in four dimensional semi-Euclidean space E24 and the non-null normal curves in E24 are examined and some certain results of describing the nun-null normal curve are presented in detail in E_2^4. In addition, some mathematical conditions are expressed for a curve given in four dimensional semi-Euclidean space E24 to be a nun-null normal curve as theorems.

Thanks

The authors wish to express their thanks to the authors of literatures for the supplied scientific aspects and idea for this study.

References

  • Almaz, F., Külahcı, M.A., Bektaş, M., “The notes on rotational surfaces in Galilean space”, The Third International Conference on Computational Mathematics and Engineering, Girne, Cyprus, 2018.
  • Almaz, F., Külahcı, M.A., “Ivolute-Evolute D-Curves in Minkowski 3-Space E_1^3”, Bol. Soc. Paran. Mat., 39(1), 147-156, 2021.
  • Almaz, F., Külahcı, M.A., “The Helix and Slant Helices Generated by non-Degenerate Curves in M3(δ0)⊂E_2^4”, Turkish Journal of Science & Technology, 16(1), 113-117, 2021.
  • Babadag, F., “On The Quaternionic Bertrand Curves in Semi-Euclidean 4-Space E_2^4," International J. Research in Engineering and Science, 4(5), 47-50, 2016.
  • Grbovic, M., Nesovic, E., “Some relations between rectifying and normal curves in Minkowski 3-space”, Math. Commun., 17, 655-664, 2012.
  • Ilarslan, K., Kılıc, N., Erdem, H.A., “Osculating curves in 4-dimensional Semi-Euclidean space with index 2,” Open Math., 15, 562-567, 2017.
  • Ilarslan, K., “Spacelike Normal curves in Minkowski space E_1^3," Turk J. Math. 29, 53-63, 2015.
  • Ilarslan, K., Nesovic, E., “Spacelike and Timelike Normal Curves in Minkowski Space-time," Publications de L’institut Mathematique J. 85(99), 111-118, 2009.
  • Kuhnel, W., Differential geometry: curves-surfaces-manifolds, Braunschweig, Wiesbaden 1999.
  • Kulahci, M., Almaz, F., “Some Characterizations of osculating Curves in the Lightlike Cone”, Bol. Soc. Paran. Math., 35(2), 39-48, 2017.
  • Kulahci, M., Almaz, F., “New Classifications for Space-like Curves in the Null Cone”, Prespacetime Journal, 7(15), 2002-2014, 2016.
  • O’Neill B, Semi-Riemannian Geometry with Applications to Relativity, Academic Press Inc., London, 1983.
Year 2021, Volume: 7 Issue: 1, 137 - 140, 29.06.2021
https://doi.org/10.22531/muglajsci.852180

Abstract

References

  • Almaz, F., Külahcı, M.A., Bektaş, M., “The notes on rotational surfaces in Galilean space”, The Third International Conference on Computational Mathematics and Engineering, Girne, Cyprus, 2018.
  • Almaz, F., Külahcı, M.A., “Ivolute-Evolute D-Curves in Minkowski 3-Space E_1^3”, Bol. Soc. Paran. Mat., 39(1), 147-156, 2021.
  • Almaz, F., Külahcı, M.A., “The Helix and Slant Helices Generated by non-Degenerate Curves in M3(δ0)⊂E_2^4”, Turkish Journal of Science & Technology, 16(1), 113-117, 2021.
  • Babadag, F., “On The Quaternionic Bertrand Curves in Semi-Euclidean 4-Space E_2^4," International J. Research in Engineering and Science, 4(5), 47-50, 2016.
  • Grbovic, M., Nesovic, E., “Some relations between rectifying and normal curves in Minkowski 3-space”, Math. Commun., 17, 655-664, 2012.
  • Ilarslan, K., Kılıc, N., Erdem, H.A., “Osculating curves in 4-dimensional Semi-Euclidean space with index 2,” Open Math., 15, 562-567, 2017.
  • Ilarslan, K., “Spacelike Normal curves in Minkowski space E_1^3," Turk J. Math. 29, 53-63, 2015.
  • Ilarslan, K., Nesovic, E., “Spacelike and Timelike Normal Curves in Minkowski Space-time," Publications de L’institut Mathematique J. 85(99), 111-118, 2009.
  • Kuhnel, W., Differential geometry: curves-surfaces-manifolds, Braunschweig, Wiesbaden 1999.
  • Kulahci, M., Almaz, F., “Some Characterizations of osculating Curves in the Lightlike Cone”, Bol. Soc. Paran. Math., 35(2), 39-48, 2017.
  • Kulahci, M., Almaz, F., “New Classifications for Space-like Curves in the Null Cone”, Prespacetime Journal, 7(15), 2002-2014, 2016.
  • O’Neill B, Semi-Riemannian Geometry with Applications to Relativity, Academic Press Inc., London, 1983.
There are 12 citations in total.

Details

Primary Language English
Journal Section Journals
Authors

Fatma Almaz 0000-0002-1060-7813

Mihriban Alyamac Kulahci 0000-0002-8621-5779

Publication Date June 29, 2021
Published in Issue Year 2021 Volume: 7 Issue: 1

Cite

APA Almaz, F., & Alyamac Kulahci, M. (2021). NON-NULL NORMAL CURVES IN THE SEMI-EUCLIDEAN SPACE E2^4. Mugla Journal of Science and Technology, 7(1), 137-140. https://doi.org/10.22531/muglajsci.852180
AMA Almaz F, Alyamac Kulahci M. NON-NULL NORMAL CURVES IN THE SEMI-EUCLIDEAN SPACE E2^4. MJST. June 2021;7(1):137-140. doi:10.22531/muglajsci.852180
Chicago Almaz, Fatma, and Mihriban Alyamac Kulahci. “NON-NULL NORMAL CURVES IN THE SEMI-EUCLIDEAN SPACE E2^4”. Mugla Journal of Science and Technology 7, no. 1 (June 2021): 137-40. https://doi.org/10.22531/muglajsci.852180.
EndNote Almaz F, Alyamac Kulahci M (June 1, 2021) NON-NULL NORMAL CURVES IN THE SEMI-EUCLIDEAN SPACE E2^4. Mugla Journal of Science and Technology 7 1 137–140.
IEEE F. Almaz and M. Alyamac Kulahci, “NON-NULL NORMAL CURVES IN THE SEMI-EUCLIDEAN SPACE E2^4”, MJST, vol. 7, no. 1, pp. 137–140, 2021, doi: 10.22531/muglajsci.852180.
ISNAD Almaz, Fatma - Alyamac Kulahci, Mihriban. “NON-NULL NORMAL CURVES IN THE SEMI-EUCLIDEAN SPACE E2^4”. Mugla Journal of Science and Technology 7/1 (June 2021), 137-140. https://doi.org/10.22531/muglajsci.852180.
JAMA Almaz F, Alyamac Kulahci M. NON-NULL NORMAL CURVES IN THE SEMI-EUCLIDEAN SPACE E2^4. MJST. 2021;7:137–140.
MLA Almaz, Fatma and Mihriban Alyamac Kulahci. “NON-NULL NORMAL CURVES IN THE SEMI-EUCLIDEAN SPACE E2^4”. Mugla Journal of Science and Technology, vol. 7, no. 1, 2021, pp. 137-40, doi:10.22531/muglajsci.852180.
Vancouver Almaz F, Alyamac Kulahci M. NON-NULL NORMAL CURVES IN THE SEMI-EUCLIDEAN SPACE E2^4. MJST. 2021;7(1):137-40.

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