Lightlike hypersurfaces of an indefinite trans-Sasakian manifold with an $(\ell,\,m)$-type connection
Lightlike hypersurfaces of an indefinite trans-Sasakian manifold with an $(\ell,\,m)$-type connection
진대호(동국대학교)
55권 5호, 1075~1089쪽
초록
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.
Abstract
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.
- 발행기관:
- 대한수학회
- 분류:
- 수학