Lightlike hypersurfaces of an indefinite Kaehler manifold with a symmetric metric connection of type $(ell,,m)$

摘要

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 $(ell,,m)$.