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Mishra, Shivam, Kishor, Shyam, Verma, Anoop. (1405). Study of W7- curvature tensor on (LPK)n manifolds. سامانه مدیریت نشریات علمی, 7(1), 31-40. doi: 10.22098/jfga.2025.17333.1158
Shivam Mishra; Shyam Kishor; Anoop Kumar Verma. "Study of W7- curvature tensor on (LPK)n manifolds". سامانه مدیریت نشریات علمی, 7, 1, 1405, 31-40. doi: 10.22098/jfga.2025.17333.1158
Mishra, Shivam, Kishor, Shyam, Verma, Anoop. (1405). 'Study of W7- curvature tensor on (LPK)n manifolds', سامانه مدیریت نشریات علمی, 7(1), pp. 31-40. doi: 10.22098/jfga.2025.17333.1158
Mishra, Shivam, Kishor, Shyam, Verma, Anoop. Study of W7- curvature tensor on (LPK)n manifolds. سامانه مدیریت نشریات علمی, 1405; 7(1): 31-40. doi: 10.22098/jfga.2025.17333.1158

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

Journal of Finsler Geometry and its Applications
دوره 7، شماره 1، 2026، صفحه 31-40    اصل مقاله (307.11 K)
نوع مقاله: Original Article
شناسه دیجیتال (DOI): 10.22098/jfga.2025.17333.1158
نویسندگان
Shivam Mishra* 1؛ Shyam Kishor2؛ Anoop Kumar Verma3
1Research Scholar, Department of Mathematics and Astronomy, University of Lucknow, U.P., India
2Faculty, Department of Mathematics and Astronomy, University of Lucknow, Lucknow, U.P., India.
3Research Scholar, Department of Mathematics and Astronomy, University of Lucknow, Lucknow, U.P., India.
چکیده
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.
کلیدواژه‌ها
Lorentzian para-Kenmotsu manifold؛ Ricci flat؛ Einstein manifold؛ W7-semisymmetric
مراجع
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