Invariant Submanifolds of a Lorentzian β-Kenmotsu Manifold

Abstract

In this paper we have investigated invariant submanifolds of Lorentzian β-Kenmotsu manifolds and obtained the necessary and sufficient conditions for total geodesic submanifolds of Lorentzian β-Kenmotsu manifolds. We have considered pseudoparallel, 2-pseudoparallel, Ricci generalized pseudoparallel, Ricci generalized 2-pseudoparallel submanifolds of these manifolds one by one and studied the geometry of Lorentzian β-Kenmotsu manifolds. Moreover, we have investigated the behavior of Lorentzian β-Kenmotsu manifolds ubder special curvature conditions written with respect to concircular and projective eigenvector tensors, and determined important properties of these manifolds.

Keywords

• Lorentzian manifold
• para-kenmotsu manifold
• pseudoparallel submanifold

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