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Ciss, Mamadou, Kaboye, Issa, Diallo, Abdoul. (1404). On a family of Einstein like Walker metrics. سامانه مدیریت نشریات علمی, (), 1-11. doi: 10.22098/jfga.2025.16924.1150
Mamadou Ciss; Issa Allassane Kaboye; Abdoul Salam Diallo. "On a family of Einstein like Walker metrics". سامانه مدیریت نشریات علمی, , , 1404, 1-11. doi: 10.22098/jfga.2025.16924.1150
Ciss, Mamadou, Kaboye, Issa, Diallo, Abdoul. (1404). 'On a family of Einstein like Walker metrics', سامانه مدیریت نشریات علمی, (), pp. 1-11. doi: 10.22098/jfga.2025.16924.1150
Ciss, Mamadou, Kaboye, Issa, Diallo, Abdoul. On a family of Einstein like Walker metrics. سامانه مدیریت نشریات علمی, 1404; (): 1-11. doi: 10.22098/jfga.2025.16924.1150

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 (287.78 K)
نوع مقاله: Original Article
شناسه دیجیتال (DOI): 10.22098/jfga.2025.16924.1150
نویسندگان
Mamadou Ciss1؛ Issa Allassane Kaboye2؛ Abdoul Salam Diallo* 3
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
3Universite Alioune Diop, UFR SATIC, Departement de Mathematiques, Equipe de Recherche en Analyse Non Lineaire et Geometrie, B. P. 30, Bambey, Senegal and Universite Abdou Moumouni, Faculte des Sciences et Techniques, Departement de Mathematiques et Informatique, B.P. 10 662, Niamey, 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
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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.

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