Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2023, Cilt: 11 Sayı: 1, 40 - 45, 30.04.2023

Öz

Kaynakça

  • [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.
  • [9] Z. O¨ zdemir, G. Cansu, Y. Yaylı, Kinematic modeling of Rytov’s law and electromagnetic curves in the optical fiber based on elliptical quaternion algebra, Optik - International Journal for Light and Electron Optics. Doi:https://dx.doi.org/10.1016/j.ijleo.2021.166334
  • [10] Z. K. Y¨ uzbası; D.W. Yoon, On geometry of isophote curves in Galilean space, AIMS Math. 6, (1), 66–76, (2021).

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

Yıl 2023, Cilt: 11 Sayı: 1, 40 - 45, 30.04.2023

Öz

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.

Kaynakça

  • [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.
  • [9] Z. O¨ zdemir, G. Cansu, Y. Yaylı, Kinematic modeling of Rytov’s law and electromagnetic curves in the optical fiber based on elliptical quaternion algebra, Optik - International Journal for Light and Electron Optics. Doi:https://dx.doi.org/10.1016/j.ijleo.2021.166334
  • [10] Z. K. Y¨ uzbası; D.W. Yoon, On geometry of isophote curves in Galilean space, AIMS Math. 6, (1), 66–76, (2021).
Toplam 10 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Articles
Yazarlar

Ameth Ndiaye

Fatih Doğan

Yayımlanma Tarihi 30 Nisan 2023
Gönderilme Tarihi 25 Şubat 2022
Kabul Tarihi 18 Aralık 2022
Yayımlandığı Sayı Yıl 2023 Cilt: 11 Sayı: 1

Kaynak Göster

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.
AMA Ndiaye A, Doğan F. Isophote Curves in a Strict Walker 3-Manifold and Application in Optical Fiber. Konuralp J. Math. Nisan 2023;11(1):40-45.
Chicago Ndiaye, Ameth, ve Fatih Doğan. “Isophote Curves in a Strict Walker 3-Manifold and Application in Optical Fiber”. Konuralp Journal of Mathematics 11, sy. 1 (Nisan 2023): 40-45.
EndNote Ndiaye A, Doğan F (01 Nisan 2023) Isophote Curves in a Strict Walker 3-Manifold and Application in Optical Fiber. Konuralp Journal of Mathematics 11 1 40–45.
IEEE A. Ndiaye ve F. Doğan, “Isophote Curves in a Strict Walker 3-Manifold and Application in Optical Fiber”, Konuralp J. Math., c. 11, sy. 1, ss. 40–45, 2023.
ISNAD Ndiaye, Ameth - Doğan, Fatih. “Isophote Curves in a Strict Walker 3-Manifold and Application in Optical Fiber”. Konuralp Journal of Mathematics 11/1 (Nisan 2023), 40-45.
JAMA 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 ve Fatih Doğan. “Isophote Curves in a Strict Walker 3-Manifold and Application in Optical Fiber”. Konuralp Journal of Mathematics, c. 11, sy. 1, 2023, ss. 40-45.
Vancouver Ndiaye A, Doğan F. Isophote Curves in a Strict Walker 3-Manifold and Application in Optical Fiber. Konuralp J. Math. 2023;11(1):40-5.
Creative Commons License
The published articles in KJM are licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.