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

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International Electronic Journal of Geometry
Volume:16 Issue:1
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

Authors : Carlos AVİLA, Matias NAVARRO, Oscar PALMAS, Didier SOLİS

Pages : 304-333

Doi:10.36890/iejg.1274307

View : 63 | Download : 7

Publication Date : 2023-04-30

Article Type : Research Paper

Abstract :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
Keywords : Degenerate metric, isometric immersion, Gauss Codazzi Ricci equations

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