On Isometric Immersions of Null Manifolds into Semi-Riemannian Space Forms of Arbitrary Index

On Isometric Immersions of Null Manifolds into Semi-Riemannian Space Forms of Arbitrary Index

A null manifold is a differentiable manifold M endowed with a degenerate metric tensor g. In this work we provide sufficient conditions for a null manifold to be isometrically immersed as a hypersurface into a simple connected semi-Riemannian manifold of constant sectional curvature c and index q

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Veröffentlicht in:International Electronic Journal of Geometry 2023-04, Vol.16 (1), p.304-333
Hauptverfasser: Avila, Carlos, Navarro, Matias, Palmas, Oscar, Solis, Didier
Format: Artikel
Sprache:eng
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Zusammenfassung:A null manifold is a differentiable manifold M endowed with a degenerate metric tensor g. In this work we provide sufficient conditions for a null manifold to be isometrically immersed as a hypersurface into a simple connected semi-Riemannian manifold of constant sectional curvature c and index q
ISSN:1307-5624
1307-5624
DOI:10.36890/iejg.1274307