Bejancu, Aurel; Duggal, K. L. Degenerated hypersurfaces of semi-Riemannian manifolds. (English) Zbl 0808.53015 Bul. Inst. Politeh. Iaşi, Secţ. I 37, No. 1-4, 13-22 (1991). 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) Cited in 2 ReviewsCited in 9 Documents MSC: 53B25 Local submanifolds 53B30 Local differential geometry of Lorentz metrics, indefinite metrics Keywords:totally geodesic; screen distribution; degenerate hypersurface; Gauss- Codazzi equations; totally umbilical PDF BibTeX XML Cite \textit{A. Bejancu} and \textit{K. L. Duggal}, Bul. Inst. Politeh. Iaşi, Secţ. I 37, No. 1--4, 13--22 (1991; Zbl 0808.53015)