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

Fatma Almaz; Mihriban Alyamac Kulahci

doi:10.22531/muglajsci.852180

Research Article

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

Year 2021, Volume: 7 Issue: 1, 137 - 140, 29.06.2021

Fatma Almaz Mihriban Alyamac Kulahci

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.

Keywords

frenet frame, normal curve, Semi-Euclidean space E2 4

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

Fatma Almaz Mihriban Alyamac Kulahci

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. Mugla Journal of Science and Technology. 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”, Mugla Journal of Science and Technology, 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. Mugla Journal of Science and Technology. 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. Mugla Journal of Science and Technology. 2021;7(1):137-40.

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