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Degenerated hypersurfaces of semi-Riemannian manifolds. (English) Zbl 0808.53015
The authors introduce the notion of screen distribution of a degenerate hypersurface of a semi-Riemannian manifold. Then they get Gauss-Codazzi equations of the immersion of a degenerate hypersurface and characterizations of integrable and parallel screen distributions. Totally geodesic and totally umbilical degenerate hypersurfaces of real space forms are also studied.
Reviewer: B.Rouxel (Quimper)

MSC:
53B25 Local submanifolds
53B30 Local differential geometry of Lorentz metrics, indefinite metrics
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