Commun. Korean Math. Soc. 2023; 38(3): 893-900
Online first article July 17, 2023 Printed July 31, 2023
https://doi.org/10.4134/CKMS.c220287
Copyright © The Korean Mathematical Society.
Rahuthanahalli Thimmegowda Naveen Kumar, Basavaraju Phalaksha Murthy, Puttasiddappa Somashekhara, Venkatesha Venkatesha
Siddaganga Institute of Technology; Government First Grade College; Government First Grade College; Kuvempu University
In the present study, we consider some curvature properties of generalized $B$-curvature tensor on Kenmotsu manifold. Here first we describe certain vanishing properties of generalized $B$ curvature tensor on Kenmostu manifold. Later we formulate generalized $B$ pseudo-symmetric condition on Kenmotsu manifold. Moreover, we also characterize generalized $B$ $\phi$-recurrent Kenmotsu manifold.
Keywords: Kenmotsu manifold, generalized $B$ curvature tensor, scalar curvature, $eta$-Einstein manifold
MSC numbers: Primary 53C05, 53C15, 53C25
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