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

Year 2023, Volume: 16 Issue: 1, 304 - 333, 30.04.2023

Carlos Avila Matias Navarro Oscar Palmas Didier Solis

https://doi.org/10.36890/iejg.1274307

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

Supporting Institution

Conacyt, UNAM, UADY

Project Number

Becas Nacionales 807031, SNI 25997, SNI 16167, SNI SNI 38368; DGAPA-PAPIIT IN101322; FMAT-2023-0002, FMAT-PTA-2022

Thanks

Conacyt, UNAM, UADY

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