Abstract
We study screen conformal Einstein half lightlike submanifolds M of a Lorentzian space form �(c) of constant curvature c admitting a semi-symmetric non-metric connection subject to the conditions; (1) the structure vector field ofis tangent to M, and (2) the canonical normal vector field of M is conformal Killing. The main result is a characterization theorem for such a half lightlike submanifold. MSC: 53C25; 53C40; 53C50
Highlights
The theory of lightlike submanifolds is used in mathematical physics, in particular, in general relativity as lightlike submanifolds produce models of different types of horizons [, ]
Half lightlike submanifold is a special case of general r-lightlike submanifold such that r =, and its geometry is more general form than that of coisotropic submanifold or lightlike hypersurface
We study the geometry of screen conformal Einstein half lightlike submanifolds M of a Lorentzian space form M(c) of constant curvature c admitting a semisymmetric non-metric connection subject to the conditions; ( ) the structure vector field of M is tangent to M, and ( ) the canonical normal vector field of M is conformal Killing
Summary
The theory of lightlike submanifolds is used in mathematical physics, in particular, in general relativity as lightlike submanifolds produce models of different types of horizons [ , ]. Yasar et al [ ] studied lightlike hypersurfaces in a semi-Riemannian manifold admitting a semi-symmetric non-metric connection. Jin and Lee [ ] and Jin [ – ] studied half lightlike and r-lightlike submanifolds of a semi-Riemannian manifold with a semi-symmetric non-metric connection.
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