Research Article

Isophote Curves in a Strict Walker 3-Manifold and Application in Optical Fiber

Volume: 11 Number: 1 April 30, 2023
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. [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. [2] M. P. do Carmo, Differential geometry of curves and surfaces, Prentice-Hall, Inc., Englewood Cliffs, N.J., viii+503 pp. 190-191.
  3. [3] F. Do ˇ gan and Y. Yaylı, On isophote curves and their characterizations, Turkish J. Math., 39, 650–664, 2015
  4. [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. [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. [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. [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. [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

Authors

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
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