Remarks on four-dimensional locally symmetric Walker manifolds

Articles in Press

Document Type : Original Article

Authors

Department of Mathematics Education, Farhangian University, P.O. Box 14665-889, Tehran, Iran

Abstract

In this paper, we examine certain geometric properties of the curvature tensor for a special case of the Walker metric, assuming g33 = g44 = k̸ = 0, where k is a constant, on a 4-dimensional manifold. Finally, we investigate the necessary and sufficient conditions for the 4-dimensional manifold with this special case of the Walker metric to be locally symmetric.

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References

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Journal of Finsler Geometry and its Applications

Articles in Press, Accepted Manuscript
Available Online from 09 December 2025

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