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Zbl 0808.53015
Bejancu, Aurel; Duggal, K.L.
Degenerated hypersurfaces of semi-Riemannian manifolds.
(English)
[J] Bul. Inst. Politeh. Iaşi, Secţ. I 37, No.1-4, 13-22 (1991). ISSN 0304-5188

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.
[B.Rouxel (Quimper)]
MSC 2000:
*53B25 Local submanifolds
53B30 Lorentz metrics, indefinite metrics

Keywords: totally geodesic; screen distribution; degenerate hypersurface; Gauss- Codazzi equations; totally umbilical

Cited in: Zbl 1062.53036 Zbl 0885.53057

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Highlights
Scientific prize winners of the ICM 2010
Overhang
Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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