- International Electronic Journal of Geometry
- Vol: 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 Avila, Matias Navarro, Oscar Palmas, Didier Solis
Pages : 304-333
Doi:10.36890/iejg.1274307
View : 6 | Download : 2
Publication Date : 2023-04-30
Article Type : Research
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 qKeywords : Degenerate metric, isometric immersion, Gauss-Codazzi-Ricci equations