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Submitted
September 4, 2023
Accepted
October 26, 2024
Published
November 20, 2024
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Abstract

This paper aims to present the theory of hypersurfaces for a novel class of manifolds called an indefinite (α, β)-type almost contact metric statistical manifold or trans-Sasakian statistical manifold with an (l, m)-type connection. The study delves into the analysis of screen semi-invariant lightlike hypersurfaces within this framework. Specific conditions on the recurrent and Lie recurrent structure tensor field have been established. Additionally, illustrative examples are provided to enhance the comprehension of the introduced concept.

Keywords

ightlike hypersurface indefinite trans-Sasakian statistical manifold (l, m)-type connection recurrent and Lie recurrent structure tensor field

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How to Cite
Bhatti, S., & Kaur, J. (2024). LIGHTLIKE HYPERSURFACES OF AN INDEFINITE (α, β)-TYPE ALMOST CONTACT METRIC STATISTICAL MANIFOLD WITH AN (l, m)-TYPE CONNECTION. Journal of the Indonesian Mathematical Society, 30(3), 398–420. https://doi.org/10.22342/jims.30.3.1518.398-420
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