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Relative nullity foliation of the screen distribution of lightlike Einstein hypersurfaces in Lorentzian spaces


Abstract


This paper deals with results concerning the relative nullity foliation of the screen distribution of a lightlike Einstein hypersurface M in the Lorentzian space R<sub>1</sub><sup>n+2</sup> and gives a characterization theorem for the relative nullity spaces. Many differences from the Riemannian case are due to the fact that the metric in consideration is degenerate.

DOI Code: 10.1285/i15900932v26n2p161

Keywords: Lightlike Einstein hypersurfaces; Relative nullity foliation; Screen distribution; Index of relative nullity

Classification: 53C50; 53C25

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