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Ndiaye, Ameth, Dia, Dioulde, Ali, Mahamane Saminou. (1405). Ruled surfaces in a strict Walker 3-manifold. سامانه مدیریت نشریات علمی, (), 10-23. doi: 10.22098/jfga.2026.18862.1192
Ameth Ndiaye; Dioulde Dia; Mahamane Saminou Ali. "Ruled surfaces in a strict Walker 3-manifold". سامانه مدیریت نشریات علمی, , , 1405, 10-23. doi: 10.22098/jfga.2026.18862.1192
Ndiaye, Ameth, Dia, Dioulde, Ali, Mahamane Saminou. (1405). 'Ruled surfaces in a strict Walker 3-manifold', سامانه مدیریت نشریات علمی, (), pp. 10-23. doi: 10.22098/jfga.2026.18862.1192
Ndiaye, Ameth, Dia, Dioulde, Ali, Mahamane Saminou. Ruled surfaces in a strict Walker 3-manifold. سامانه مدیریت نشریات علمی, 1405; (): 10-23. doi: 10.22098/jfga.2026.18862.1192

Ruled surfaces in a strict Walker 3-manifold

Journal of Finsler Geometry and its Applications
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 18 اردیبهشت 1405    اصل مقاله (513.06 K)
نوع مقاله: Original Article
شناسه دیجیتال (DOI): 10.22098/jfga.2026.18862.1192
نویسندگان
Ameth Ndiaye* 1؛ Dioulde Dia2؛ Mahamane Saminou Ali1
1D´epartement de Math´ematiques, FASTEF, Universit´e Cheikh Anta Diop, B.P. 5036, Dakar, Senegal
2D´epartement de Math´ematiques et Informatique, FST, Universit´e Cheikh Anta Diop, B.P. 5005, Dakar, Senegal
چکیده
In this paper, we define and construct the ruled surfaces in a three-dimensional strict Walker manifold. We study the geometric properties of these families of surfaces. We give an example to illustrate our main results.
کلیدواژه‌ها
Ruled surfaces؛ curves؛ mean curvature؛ Gauss curvature؛ Walker manifolds
مراجع
 1. S. Azimpour and S. Salahvarzi, Remarks on four-dimensional locally symmetric Walker manifolds, J. Finsler Geom. Appl. 7(1) (2026), 161-171.
2. 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.
3. M. P. do Carmo, Differential geometry of curves and surfaces, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1976. viii+503 pp. 190-191.
4. M. Ciss, I. A. Kaboye and A. S. Diallo, On a family of Einstein like Walker metrics, J. Finsler Geom. Appl. 6(2) (2025), 1-11.
5. A. S. Diallo, A. Ndiaye, and A. Niang, Minimal graphs on three-dimensional Walker manifolds. Proceedings of the First NLAGA-BIRS Symposium, Dakar, Senegal, 425-438, Trends Math., Birkh¨user/Springer, Cham, 2020.
6. G. Calvaruso and J. Van der Veken, Parallel surfaces in Lorentzian three-manifolds admitting a parallel null vector field, J. Phys. A: Math. Theor. 43(2010) 325-207.
7. A. Niang, Surfaces minimales r´eg´ees dans l’espace de Minkowski ou Euclidien orient´ede dimension 3, Afrika Mat. 15(3) (2003), 117-127.
8. K. Nomizu and T. Sasaki, Affine Differential Geometry. Geometry of Affine Immersions,Cambridge Tracts in Mathematics Vol. 111 (Cambridge University Press, Cambridge,1994).
9. B. O’Neill, Semi-Riemannian Geometry with Applications to Relativity, Academic Press,Inc. New York, 1983.
10. A. G. Walker, Canonical form for a Riemannian space with a parallel field of null planes,Quart. J. Math. Oxford. 2(1950) 69-79.
11. I. Van de Woerstyne, Minimal surfaces of the 3-dimensional Minkowski space, Geometry and Topology of Submanifolds, II (Avignon, 1988), 344-369. 

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