Relative nullity foliations and indefinite isometric immersions

DOI10.2140/PJM.1986.124.1zbMath0604.53020OpenAlexW2128086008MaRDI QIDQ1083036

Kinetsu Abe, Martin A. Magid

Publication date: 1986

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1986.124.1

zbMATH Keywords

indefinite metricsnullity distributionrelative nullity indexLorentzian submanifolds

Mathematics Subject Classification ID

Global submanifolds (53C40) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (10)

Indefinite Kähler submanifolds with positive index of relative nullity ⋮ Codimension \(m\) isometric immersions between pseudo-spheres ⋮ A parametrization of isometric immersions between anti-de Sitter space-times ⋮ A characterization for a \((2, 0)\)-geodesic affine immersion ⋮ Conformally flat Lorentz hypersurfaces. ⋮ On Isometric Immersions of Null Manifolds into Semi-Riemannian Space Forms of Arbitrary Index ⋮ Relative nullity distributions, an affine immersion from an almost product manifold and a para-pluriharmonic isometric immersion ⋮ Semi-Riemannian hypersurfaces in \(\mathbb{L}^{n+1}\) with a totally geodesic foliation of codimension one ⋮ Geometry--5 ⋮ Foliations, submanifolds, and mixed curvature

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