
تعداد نشریات | 26 |
تعداد شمارهها | 400 |
تعداد مقالات | 3,526 |
تعداد مشاهده مقاله | 5,422,223 |
تعداد دریافت فایل اصل مقاله | 3,706,063 |
On a family of Einstein like Walker metrics | ||
Journal of Finsler Geometry and its Applications | ||
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 12 خرداد 1404 اصل مقاله (287.85 K) | ||
نوع مقاله: Original Article | ||
شناسه دیجیتال (DOI): 10.22098/jfga.2025.16924.1150 | ||
نویسندگان | ||
Mamadou Ciss1؛ Issa Allassane Kaboye2؛ Abdoul Salam Diallo* 1 | ||
1Universite Alioune Diop, UFR SATIC, Departement de Mathematiques, Equipe de Recherche en Analyse Non Lineaire et Geometrie, B. P. 30, Bambey, Senegal | ||
2Universite Andre Salifou de Zinder, Departement des Sciences Exactes, B. P. 656, Zinder, Niger | ||
چکیده | ||
A four dimensional pseudo-Riemannian manifold of signature (2, 2) is called a Walker manifold if it admits a parallel degenerate plane field. Einstein like metrics are generalizations of Einstein metrics. In this paper, we study the curvature properties of a family of four dimensional Walker manifolds. We give conditions on the coefficients of the metric so that the Ricci tensor of the metric is parallel, cyclic parallel and Codazzi respectively. | ||
کلیدواژهها | ||
Einstein manifold؛ Einstein like manifold؛ Walker metrics | ||
مراجع | ||
1. W. Batat, G. Calvaruso and B. De Leo, On the geometry of four-dimensional Walker manifolds, Rend. Mat. Appl., VII. Ser. 29(2) (2009), 163-173 . 2. C. Boubel and L. B. Bergery, On pseudo-Riemannian manifolds whose Ricci tensor is parallel, Geom. Dedicata. 86(1-3) (2001), 1-18 . 3. 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),2009. 4. G. Calvaruso, Einstein-like metrics on three-dimensional homogeneous Lorentzian manifolds, Geom. Dedicata. 127 (2007), 99-119. 5. M. Chaichi, E. Garc´ıa-R´ıo and Y. Matsushita, Curvature properties of four-dimensional Walker metrics, Classical Quantum Gravity. 22 (2005), 559-577. 6. M. Ciss, I. A. Kaboye and A. S. Diallo, Killing vector fields on a family of fourdimensional Walker manifolds, J. Tensor Soc. (N.S.) 18 (2024), 37-43. 7. A. S. Diallo and M. Hassirou, Examples of Osserman metrics of (3; 3)-signature, J. Math. Sci. Adv. Appl. 7(2) (2011), 95-103. 8. A. S. Diallo, M. Hassirou and O. T. Issa, Walker Osserman metric of signature (3; 3),Bull. Math. Anal. Appl. 9(4) (2017), 21-30. 9. A. S. Diallo, A. Ndiaye and A. Niang, On pseudo-Riemannian A-manifolds, J. Adv.Math. Stud. 16(4) (2023), 422-428. 10. A. Gray, Einstein-like manifolds which are not Einstein, Geom. Dedicata. 7(3) (1978),259-280. 11. B. Mbodj, A. S. Diallo and I. A. Kaboye, Locally conformally symmetric condition on four dimensional strict Walker metrics, Int. J. Geom. 13(3) (2024), 109-117. 12. A. G. Walker, Canonical form for a Riemannian space with a parallel field of null planes,Quart. J. Mat Oxford. 1(2) (1950), 69-79. | ||
آمار تعداد مشاهده مقاله: 21 تعداد دریافت فایل اصل مقاله: 26 |