Study of W7- curvature tensor on (LPK)n manifolds

Articles in Press

Document Type : Original Article

Authors

1 Research Scholar, Department of Mathematics and Astronomy, University of Lucknow, U.P., India

2 Faculty, Department of Mathematics and Astronomy, University of Lucknow, Lucknow, U.P., India.

3 Research Scholar, Department of Mathematics and Astronomy, University of Lucknow, Lucknow, U.P., India.

Abstract

In this paper, we study the characteristics of n-dimensional Lorentzian para-
Kenmotsu manifolds (briefly, (LP K)n) endowed with the W7-curvature tensor. First,
we analyzed (LP K)n manifolds under the condition W7(X, Y, Z, ξ) = 0. Next,
we explore (LP K)n manifolds satisfying the W7-semisymmetric condition, ϕ-W7-
symmetric condition, and ϕ-W7-flat condition. Moreover, we discuss Lorentzian
para-Kenmotsu manifolds under the condition W7(U, V ) · R = 0, and prove that
such manifolds reduce to Einstein manifolds. Finally, all the relevant results have
been verified through an example.

Keywords

References

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Journal of Finsler Geometry and its Applications

Articles in Press, Accepted Manuscript
Available Online from 20 October 2025

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