DOI: 10.3390/math14152768 ISSN: 2227-7390

Invariant Submanifolds of Lorentzian β-Kenmotsu Manifold According to a Generalized B-Curvature Tensor

Ibrahim Al-Dayel, Mohd Danish Siddiqi, Tuğba Mert

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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