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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.
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참고문헌 (18)
참고문헌 신청
N. S. Agashe / 1992 / A semi-symmetric nonmetric connection on a Riemannian manifold / Indian J. Pure Appl. Math. 23(6):399~409
N. S. Agashe / 1994 / On submanifolds of a Riemannian manifold with a semi-symmetric non-metric connection / Tensor (N.S.) 55(2):120~130
Mobin Ahmad / 2009 / Hypersurfaces of an almost r-paracontact Riemannian Manifold Endowed with a Quarter Symmetric Non-metric Connection / Kyungpook Mathematical Journal 49(3):533~543
P. Alegre / 2004 / Generalized Sasakian-space-forms / Israel J. Math. 141:157~183
C. Calin / 1998 / Contributions to Geometry of CR-Submanifold
N. S. Agashe / 1994 / On submanifolds of a Riemannian manifold with a semi-symmetric non-metric connection / Tensor (N.S.) 55(2):120~130
Mobin Ahmad / 2009 / Hypersurfaces of an almost r-paracontact Riemannian Manifold Endowed with a Quarter Symmetric Non-metric Connection / Kyungpook Mathematical Journal 49(3):533~543
P. Alegre / 2004 / Generalized Sasakian-space-forms / Israel J. Math. 141:157~183
C. Calin / 1998 / Contributions to Geometry of CR-Submanifold
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