J. Korean Math. Soc. 2018; 55(5): 1075-1089
Online first article August 6, 2018 Printed September 1, 2018
https://doi.org/10.4134/JKMS.j170538
Copyright © The Korean Mathematical Society.
Dae Ho Jin
Dongguk University
We define a new connection on semi-Riemannian manifolds, which is a non-symmetric and non-metric connection. We say that this connection is an $(\ell,\,m)$-type connection. Semi-symmetric non-metric connection and non-metric $\phi$-symmetric connection are two important examples of this connection such that $(\ell,\,m) = (1,\,0)$ and $(\ell,\,m) = (0,\,1)$, respectively. In this paper, we study lightlike hypersurfaces of an indefinite trans-Sasakian manifold with an $(\ell,\,m)$-type connection.
Keywords: $(\ell, m)$-type connection, lightlike hypersurface, indefinite trans-Sasakian manifold
MSC numbers: Primary 53C25, 53C40, 53C50
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