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- W2298875041 abstract "This paper deals with a family of Osserman lightlike hypersurfaces $(M_u)$ of a class of Lorentzian manifolds $bar{M}$ such that its each null normal vector is defined on some open subset of $bar{M}$ around $M_u$. We prove that a totally umbilical family of lightlike hypersurfaces of a connected Lorentzian pointwise Osserman manifold of constant curvature is locally Einstein and pointwise ${cal F}-$Osserman, where our foliation approach provides the required algebraic symmetries of the induced curvature tensor. Also we prove two new characterization theorems for the family of Osserman lightlike hypersurfaces, supported by a physical example of Osserman lightlike hypersurfaces of the Schwarzschild spacetime." @default.
- W2298875041 created "2016-06-24" @default.
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- W2298875041 date "2016-03-16" @default.
- W2298875041 modified "2023-10-18" @default.
- W2298875041 title "Osserman Lightlike Hypersurfaces on a Foliated Class of Lorentzian Manifolds" @default.
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- W2298875041 doi "https://doi.org/10.5539/jmr.v8n2p55" @default.
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