The object of the present paper is to study a special type of semi-symmetric non-metric $\phi$-connection on a Kenmotsu manifold. It is shown that if the curvature tensor on Kenmotsu manifolds admitting a special type of semi-symmetric non-metric $\phi$-connection $\bar{\nabla}$ vanishes, then the Kenmotsu manifold is locally isometric to the hyperbolic space $H^n(-1)$. Beside these we consider Weyl conformal curvature tensor of a Kenmotsu manifold with respect to the semi-symmetric non-metric $\phi$-connection. Among others we prove that the Weyl conformal curvature tensor with respect to the Levi-Civita connection and the semi-symmetric non-metric $\phi$-connection are equivalent. Moreover we deal with $\phi$-Weyl semi-symmetric Kenmotsu manifold with respect to the semi-symmetric non-metric $\phi$ -connection. Finally, an illustrative example is given to verify our result.
@article{6311,
title = {ON KENMOTSU MANIFOLDS ADMITTING A SPECIAL TYPE OF SEMI-SYMMETRIC NON-METRIC \phi-CONNECTION},
journal = {Novi Sad Journal of Mathematics},
volume = {48},
year = {2018},
language = {EN},
url = {http://dml.mathdoc.fr/item/6311}
}
Majhi, Pradip; Barman, Ajit; De, Uday Chand. ON KENMOTSU MANIFOLDS ADMITTING A SPECIAL TYPE OF SEMI-SYMMETRIC NON-METRIC \phi-CONNECTION. Novi Sad Journal of Mathematics, Tome 48 (2018) . http://gdmltest.u-ga.fr/item/6311/