Degenerate submanifolds in semi-Riemannian geometry

DOI10.1007/BF00181606zbMath0644.53019MaRDI QIDQ1102552

Demir N. Kupeli

Publication date: 1987

Published in: Geometriae Dedicata (Search for Journal in Brave)

zbMATH Keywords

Gauss-Codazzi equationsdegenerate submanifoldirrational stationary degenerate submanifoldssingular semi-Riemannian structuretotal umbilicity

Mathematics Subject Classification ID

Local submanifolds (53B25) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (12)

Submanifold geometry ⋮ Light-like \(CR\) hypersurfaces of indefinite Kähler manifolds ⋮ Some geometric properties of singular pseudo-Riemannian manifolds ⋮ Lightlike Osserman submanifolds of semi-Riemannian manifolds ⋮ Chains, Null-Chains, and CR Geometry ⋮ Singular semi-Riemannian geometry ⋮ New properties on normalized null hypersurfaces ⋮ On the singularities of quadratic forms ⋮ On singular semi-Riemannian manifolds ⋮ Null hypersurfaces in Lorentzian manifolds with the null energy condition ⋮ The mathematical theory of gravitational discontinuity hypersurfaces ⋮ Observer-dependent Gauss-Codazzi formalism for null hypersurfaces in the space-time

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