Minimal lightlike hypersurfaces in  with integrable screen distribution.

Sakaki, Makoto

Displaying similar documents to “Minimal lightlike hypersurfaces in $ℝ_{2}^{4}$ with integrable screen distribution.”

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This paper deals with a family of lightlike (null) hypersurfaces (H u) of a Lorentzian manifold M such that each null normal vector ℓ of H u is not entirely in H u, but, is defined in some open subset of M around H u. Although the family (H u) is not unique, we show, subject to some reasonable condition(s), that the involved induced objects are independent of the choice of (H u) once evaluated at u = constant. We use (n+1)-splitting Lorentzian manifold to obtain a normalization of ℓ...

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Displaying similar documents to “Minimal lightlike hypersurfaces in ℝ 2 4 with integrable screen distribution.”

Displaying similar documents to “Minimal lightlike hypersurfaces in $ℝ_{2}^{4}$ with integrable screen distribution.”