
Summary: We study lightlike hypersurfaces \(M\) of a Lorentz manifold \(\overline M\) with a semi-symmetric non-metric connection subject to the conditions: (1) the screen distribution \(S(TM)\) is totally geodesic in \(M\), and (2) the second fundamental form \(B\) of \(M\) is parallel.
Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics, Special Riemannian manifolds (Einstein, Sasakian, etc.), Lorentz manifold with semi-symmetric non-metric connection, Global submanifolds, totally geodesic screen distribution, light-like hypersurface
Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics, Special Riemannian manifolds (Einstein, Sasakian, etc.), Lorentz manifold with semi-symmetric non-metric connection, Global submanifolds, totally geodesic screen distribution, light-like hypersurface
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