Generic lightlike submanifolds of an indefinite trans-Sasakian manifold with a non-symmetric non-metric connection of type $(\ell, m)$
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Jin \cite{Jin4} defined a new connection on semi-Riemannian manifolds, which is a non-symmetric and non-metric connection. He said that this connection is an {\it $(\ell,\,m)$-type connection}. Jin also studied lightlike hypersurfaces of an indefinite trans-Sasakian manifold with an $(\ell, m)$-type connection in \cite{Jin4}. We study further the geometry of this subject. In this paper, we study generic lightlike submanifolds of an indefinite trans-Sasakian manifold endowed with an $(\ell, m)$-type connection.
Abstract
Jin \cite{Jin4} defined a new connection on semi-Riemannian manifolds, which is a non-symmetric and non-metric connection. He said that this connection is an {\it $(\ell,\,m)$-type connection}. Jin also studied lightlike hypersurfaces of an indefinite trans-Sasakian manifold with an $(\ell, m)$-type connection in \cite{Jin4}. We study further the geometry of this subject. In this paper, we study generic lightlike submanifolds of an indefinite trans-Sasakian manifold endowed with an $(\ell, m)$-type connection.
참고문헌 (11)
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