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Lightlike hypersurfaces of metallic semi-Riemannian manifolds

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In our paper, we introduce and study lightlike hypersurfaces of a metallic semi-Riemannian manifold. We examine some geometric properties of invariant lightlike hypersurfaces. We show that the induced structure on… Click to show full abstract

In our paper, we introduce and study lightlike hypersurfaces of a metallic semi-Riemannian manifold. We examine some geometric properties of invariant lightlike hypersurfaces. We show that the induced structure on an invariant lightlike hypersurface is also metallic. We also define screen semi-invariant lightlike hypersurfaces, investigate integrability conditions for the distributions and give some examples.

Keywords: invariant lightlike; semi riemannian; metallic semi; lightlike hypersurfaces; riemannian manifolds; hypersurfaces metallic

Journal Title: International Journal of Geometric Methods in Modern Physics
Year Published: 2018

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