Ascreen Lightlike Hypersurfaces of a Semi-riemannian Space Form with a Semi-symmetric Non-metric Connection
نویسندگان
چکیده
We study lightlike hypersurfaces of a semi-Riemannian space form M̃(c) admitting a semi-symmetric non-metric connection. First, we construct a type of lightlike hypersurfaces according to the form of the structure vector field of M̃(c), which is called a ascreen lightlike hypersurface. Next, we prove a characterization theorem for such an ascreen lightlike hypersurface endow with a totally geodesic screen distribution.
منابع مشابه
Einstein Lightlike Hypersurfaces of a Lorentz Space Form with a Semi-symmetric Non-metric Connection
We study Einstein lightlike hypersurfaces M of a Lorentzian space form M̃(c) admitting a semi-symmetric non-metric connection subject to the conditions; (1) M is screen conformal and (2) the structure vector field ζ of M̃ belongs to the screen distribution S(TM). The main result is a characterization theorem for such a lightlike hypersurface.
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