Research Article

Singular Minimal Translation Surfaces in Euclidean Spaces Endowed with Semi-symmetric Connections

Volume: 13 Number: 2 December 31, 2021
EN

Singular Minimal Translation Surfaces in Euclidean Spaces Endowed with Semi-symmetric Connections

Abstract

In this paper, we study and classify singular minimal translation surfaces in a Euclidean space of dimension $3$ endowed with a certain semi-symmetric (non-)metric connection.

Keywords

References

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  2. [2] Agashe, N. S., Chafle, M.R., On submanifolds of a Riemannian manifold with a semi-symmetric non-metric connection, Tensor, 55(2)(1994), 120–130.
  3. [3] Akyol, M. A., Beyendi, S., Riemannian submersion endowed with a semi-symmetric non-metric connection, Konuralp J. Math. 6(1)(2018), 188–193.
  4. [4] Aydin, M.E., Erdur, A., Ergut, M., Singular minimal translation graphs in Euclidean spaces, J. Korean Math. Soc., 58(1)(2021), 109–122.
  5. [5] Aydin, M.E., Mihai, A., Translation hypersurfaces and Tzitzeica Translation hyper-surfaces of the Euclidean space, Proc. Rom. Acad. Ser. A, Math. Phys. Tech. Sci. Inf. Sci., 16(4)(2015), 477–483.
  6. [6] Böhme, R., Hildebrant, S., Taush, E., The two-dimensional analogue of the catenary, Pac. J. Math., 88(2)(1980), 247–278.
  7. [7] Chaubey, S.K., Yildiz, A., Riemannian manifolds admitting a new type of semisymmetric nonmetric connection, Turk. J. Math., 43(4)(2019), 1887–1904.
  8. [8] Darboux, J.G., Theorie Generale des Surfaces, Livre I, Gauthier-Villars, Paris, 1914.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

December 31, 2021

Submission Date

February 19, 2021

Acceptance Date

September 16, 2021

Published in Issue

Year 2021 Volume: 13 Number: 2

APA
Erdur Kara, A., Aydın, M. E., & Ergüt, M. (2021). Singular Minimal Translation Surfaces in Euclidean Spaces Endowed with Semi-symmetric Connections. Turkish Journal of Mathematics and Computer Science, 13(2), 270-281. https://doi.org/10.47000/tjmcs.882976
AMA
1.Erdur Kara A, Aydın ME, Ergüt M. Singular Minimal Translation Surfaces in Euclidean Spaces Endowed with Semi-symmetric Connections. TJMCS. 2021;13(2):270-281. doi:10.47000/tjmcs.882976
Chicago
Erdur Kara, Ayla, Muhittin Evren Aydın, and Mahmut Ergüt. 2021. “Singular Minimal Translation Surfaces in Euclidean Spaces Endowed With Semi-Symmetric Connections”. Turkish Journal of Mathematics and Computer Science 13 (2): 270-81. https://doi.org/10.47000/tjmcs.882976.
EndNote
Erdur Kara A, Aydın ME, Ergüt M (December 1, 2021) Singular Minimal Translation Surfaces in Euclidean Spaces Endowed with Semi-symmetric Connections. Turkish Journal of Mathematics and Computer Science 13 2 270–281.
IEEE
[1]A. Erdur Kara, M. E. Aydın, and M. Ergüt, “Singular Minimal Translation Surfaces in Euclidean Spaces Endowed with Semi-symmetric Connections”, TJMCS, vol. 13, no. 2, pp. 270–281, Dec. 2021, doi: 10.47000/tjmcs.882976.
ISNAD
Erdur Kara, Ayla - Aydın, Muhittin Evren - Ergüt, Mahmut. “Singular Minimal Translation Surfaces in Euclidean Spaces Endowed With Semi-Symmetric Connections”. Turkish Journal of Mathematics and Computer Science 13/2 (December 1, 2021): 270-281. https://doi.org/10.47000/tjmcs.882976.
JAMA
1.Erdur Kara A, Aydın ME, Ergüt M. Singular Minimal Translation Surfaces in Euclidean Spaces Endowed with Semi-symmetric Connections. TJMCS. 2021;13:270–281.
MLA
Erdur Kara, Ayla, et al. “Singular Minimal Translation Surfaces in Euclidean Spaces Endowed With Semi-Symmetric Connections”. Turkish Journal of Mathematics and Computer Science, vol. 13, no. 2, Dec. 2021, pp. 270-81, doi:10.47000/tjmcs.882976.
Vancouver
1.Ayla Erdur Kara, Muhittin Evren Aydın, Mahmut Ergüt. Singular Minimal Translation Surfaces in Euclidean Spaces Endowed with Semi-symmetric Connections. TJMCS. 2021 Dec. 1;13(2):270-81. doi:10.47000/tjmcs.882976