Research Article

On tzitzeica surfaces in euclidean 3-space $\mathbb{E}^3$

Volume: 23 Number: 1 January 29, 2021
  • Bengü Bayram
  • Emrah Tunç *
TR EN

On tzitzeica surfaces in euclidean 3-space $\mathbb{E}^3$

Abstract

In this study, we consider Tzitzeica surfaces (Tz-surface) in Euclidean 3-Space $\mathbb{E}^3$. We have been obtained Tzitzeica surfaces conditions of some surfaces. Finally, examples are given for these surfaces.

Keywords

References

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  2. Crasmareanu, M., Cylindrical Tzitzeica curves implies forced harmonic oscillators, Balkan Journal of Geometry and Its Applications, 7(1), 37-42, (2002).
  3. Vilcu, G.E., A geometric perspective on the generalized Cobb-Douglas production function, Applied Mathematics Letters, 24, 777-783, (2011).
  4. Constantinescu, O., Crasmareanu, M., A new Tzitzeica hypersurface and cubic Finslerian metrics of Berwall type, Balkan Journal of Geometry and Its Applications, 16(2), 27-34, (2011).
  5. O’neill, B., Elemantary Differential Geometry, (1966).
  6. Sipus, Z.M., Divjak, B., Translation surface in the Galilean space, Glasnik Matematicki. Serija III, 46(2), 455–469, (2011).
  7. Bekkar, M., Senoussi, B., Factorable surfaces in the 3-Dimensional Lorentz-Minkowski space satisfying ∆II ri=λiri, International Journal of Geometry, 103, 17-29, (2012).
  8. Meng, H., and Liu, H., Factorable surfaces in Minkowski 3-space, Bulletin of the Korean Mathematical Society, 155-169, (2009).

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Bengü Bayram This is me
0000-0002-1237-5892
Türkiye

Emrah Tunç * This is me
0000-0002-7630-0996
Türkiye

Publication Date

January 29, 2021

Submission Date

May 21, 2020

Acceptance Date

September 4, 2020

Published in Issue

Year 2021 Volume: 23 Number: 1

APA
Bayram, B., & Tunç, E. (2021). On tzitzeica surfaces in euclidean 3-space $\mathbb{E}^3$. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 23(1), 277-290. https://doi.org/10.25092/baunfbed.850807
AMA
1.Bayram B, Tunç E. On tzitzeica surfaces in euclidean 3-space $\mathbb{E}^3$. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi. 2021;23(1):277-290. doi:10.25092/baunfbed.850807
Chicago
Bayram, Bengü, and Emrah Tunç. 2021. “On Tzitzeica Surfaces in Euclidean 3-Space $\mathbb{E}^3$”. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi 23 (1): 277-90. https://doi.org/10.25092/baunfbed.850807.
EndNote
Bayram B, Tunç E (January 1, 2021) On tzitzeica surfaces in euclidean 3-space $\mathbb{E}^3$. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi 23 1 277–290.
IEEE
[1]B. Bayram and E. Tunç, “On tzitzeica surfaces in euclidean 3-space $\mathbb{E}^3$”, Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, vol. 23, no. 1, pp. 277–290, Jan. 2021, doi: 10.25092/baunfbed.850807.
ISNAD
Bayram, Bengü - Tunç, Emrah. “On Tzitzeica Surfaces in Euclidean 3-Space $\mathbb{E}^3$”. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi 23/1 (January 1, 2021): 277-290. https://doi.org/10.25092/baunfbed.850807.
JAMA
1.Bayram B, Tunç E. On tzitzeica surfaces in euclidean 3-space $\mathbb{E}^3$. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi. 2021;23:277–290.
MLA
Bayram, Bengü, and Emrah Tunç. “On Tzitzeica Surfaces in Euclidean 3-Space $\mathbb{E}^3$”. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, vol. 23, no. 1, Jan. 2021, pp. 277-90, doi:10.25092/baunfbed.850807.
Vancouver
1.Bengü Bayram, Emrah Tunç. On tzitzeica surfaces in euclidean 3-space $\mathbb{E}^3$. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi. 2021 Jan. 1;23(1):277-90. doi:10.25092/baunfbed.850807

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