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Commun. Korean Math. Soc. 2020; 35(1): 269-278
Online first article December 17, 2019 Printed January 31, 2020
https://doi.org/10.4134/CKMS.c190003
Copyright © The Korean Mathematical Society.
On the conharmonic curvature tensor of a locally conformal almost cosymplectic manifold
Habeeb M. Abood, Farah H. Al-Hussaini
University of Basrah; University of Basrah
This paper aims to study the geometrical properties of the conharmonic curvature tensor of a locally conformal almost cosymplectic manifold. The necessary and sufficient conditions for the conharmonic curvature tensor to be flat, the locally conformal almost cosymplectic manifold to be normal and an $ \eta $-Einstein manifold were determined.
Keywords: Locally conformal almost cosymplectic manifold, $\eta$-Einstein manifold, conharmonic curvature tensor
MSC numbers: 53D10, 53D15
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