Lightlike hypersurfaces of an indefinite Kaehler manifold with a symmetric metric connection of type $(\ell,\,m)$
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We define a new connection on semi-Riemannian manifolds, which is called a {\it symmetric connection of type} $(\ell,\,m)$. Semi-symmetric connection and quarter-symmetric connection are two 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 Kaehler manifold endowed with a symmetric metric connection of type $(\ell,\,m)$.
Abstract
We define a new connection on semi-Riemannian manifolds, which is called a {\it symmetric connection of type} $(\ell,\,m)$. Semi-symmetric connection and quarter-symmetric connection are two 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 Kaehler manifold endowed with a symmetric metric connection of type $(\ell,\,m)$.
참고문헌 (16)
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