Generalized B-curvature tensor within the framework of Lorentzian β-Kenmotsu manifold

Abstract

The objective of this paper is to study some curvature properties of generalized [Formula: see text]-curvature tensor on Lorentzian [Formula: see text]-Kenmotsu manifold. Here first, we describe certain vanishing properties of generalized [Formula: see text]-curvature tensor on Lorentzian [Formula: see text]-Kenmotsu manifold and obtained several interesting results. Next, we formulate [Formula: see text] semi-symmetric condition on Lorentzian [Formula: see text]-Kenmotsu manifold. Again, we discussed the generalized [Formula: see text] pseudo-symmetric condition on Lorentzian [Formula: see text]-Kenmotsu manifold. We also characterized generalized [Formula: see text] [Formula: see text]-recurrent Lorentzian [Formula: see text]-Kenmotsu manifold. Further, we deal with Lorentzian [Formula: see text]-Kenmotsu manifold satisfying [Formula: see text] condition.