EN
Isophote Curves in a Strict Walker 3-Manifold and Application in Optical Fiber
Abstract
In this paper, we introduice and investigate the geometry of isophote curves in a strict Walker 3-manifold using the Darboux frame. We give some characterisations about isophote and its axis and we give an application about optical fiber and its polarization vector.
Keywords
References
- [1] M. Brozos-V´azquez, E. Garc´ıa-Rio, P. Gilkey, S. Nikevi´c and R, V´azquez-Lorenzo, The Geometry of Walker Manifolds, Synthesis Lectures on Mathematics and Statistics, 5. Morgan and Claypool Publishers, Williston, VT, 2009.
- [2] M. P. do Carmo, Differential geometry of curves and surfaces, Prentice-Hall, Inc., Englewood Cliffs, N.J., viii+503 pp. 190-191.
- [3] F. Do ˇ gan and Y. Yaylı, On isophote curves and their characterizations, Turkish J. Math., 39, 650–664, 2015
- [4] F. Do ˇ gan and Y. Yaylı, Isophote curves on spacelike surfaces in Lorentz-Minkowski space E3 1 , Asian-Eur. J. Math., 14, (10), 2150180, (2021).
- [5] F. Do ˇ gan, Isophote curves on timelike surfaces in Minkowski 3-space, An. S¸ tiint¸. Univ. Al. I. Cuza Ias¸i. Mat. (N.S.) 63, (1), 133-143, (2017).
- [6] A. Ndiaye, M. Gningue, H. Dathe, Darboux curves in three dimensional Walker manifold, Glob. J. Adv. Res. Class. Mod. Geom., 11, (1), 45–50 (2022).
- [7] M. Gningue, A. Ndiaye, R. Nkunzimana, Biharmonic curves in a strict Walker 3-manifold, Int. J. Math. Math. Sci., Art. ID 3855033, 6 pp (2022).
- [8] A. Niang, A. Ndiaye, A. S. Diallo, A Classification of Strict Walker 3-Manifold, Konuralp J. Math., (2021), 9(1), 148-153.
Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Publication Date
April 30, 2023
Submission Date
February 25, 2022
Acceptance Date
December 18, 2022
Published in Issue
Year 2023 Volume: 11 Number: 1
APA
Ndiaye, A., & Doğan, F. (2023). Isophote Curves in a Strict Walker 3-Manifold and Application in Optical Fiber. Konuralp Journal of Mathematics, 11(1), 40-45. https://izlik.org/JA75HY54AL
AMA
1.Ndiaye A, Doğan F. Isophote Curves in a Strict Walker 3-Manifold and Application in Optical Fiber. Konuralp J. Math. 2023;11(1):40-45. https://izlik.org/JA75HY54AL
Chicago
Ndiaye, Ameth, and Fatih Doğan. 2023. “Isophote Curves in a Strict Walker 3-Manifold and Application in Optical Fiber”. Konuralp Journal of Mathematics 11 (1): 40-45. https://izlik.org/JA75HY54AL.
EndNote
Ndiaye A, Doğan F (April 1, 2023) Isophote Curves in a Strict Walker 3-Manifold and Application in Optical Fiber. Konuralp Journal of Mathematics 11 1 40–45.
IEEE
[1]A. Ndiaye and F. Doğan, “Isophote Curves in a Strict Walker 3-Manifold and Application in Optical Fiber”, Konuralp J. Math., vol. 11, no. 1, pp. 40–45, Apr. 2023, [Online]. Available: https://izlik.org/JA75HY54AL
ISNAD
Ndiaye, Ameth - Doğan, Fatih. “Isophote Curves in a Strict Walker 3-Manifold and Application in Optical Fiber”. Konuralp Journal of Mathematics 11/1 (April 1, 2023): 40-45. https://izlik.org/JA75HY54AL.
JAMA
1.Ndiaye A, Doğan F. Isophote Curves in a Strict Walker 3-Manifold and Application in Optical Fiber. Konuralp J. Math. 2023;11:40–45.
MLA
Ndiaye, Ameth, and Fatih Doğan. “Isophote Curves in a Strict Walker 3-Manifold and Application in Optical Fiber”. Konuralp Journal of Mathematics, vol. 11, no. 1, Apr. 2023, pp. 40-45, https://izlik.org/JA75HY54AL.
Vancouver
1.Ameth Ndiaye, Fatih Doğan. Isophote Curves in a Strict Walker 3-Manifold and Application in Optical Fiber. Konuralp J. Math. [Internet]. 2023 Apr. 1;11(1):40-5. Available from: https://izlik.org/JA75HY54AL
