Analysis of invariant submanifolds in Lorentzian β-Kenmotsu manifolds, indicating geometric properties through curvature tensor analysis.
The purpose of this research paper is to analyze the invariant submanifolds of Lorentzian β-Kenmotsu manifolds. With respect to the generalized B-curvature tensor defined on a Lorentzian β-Kenmotsu manifold, we examine the geometry of invariant submanifolds. The generalized B-curvature tensor is used to characterize the pseudoparallel and semiparallel conditions of the invariant submanifolds in a Lorentzian β-Kenmotsu manifold. Lastly, we illustrate our study with a few examples as well.
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Al-Dayel et al. (2026) studied this question.
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