Affiliation:
1. Universidad Autónoma de Yucatán
2. Universidad Nacional Autónoma de México
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
Publisher
International Electronic Journal of Geometry, Person (Kazim ILARSLAN)
Subject
Applied Mathematics,Geometry and Topology,Mathematical Physics
Reference31 articles.
1. [1] Abe, K., Magid, M.: Relative nullity foliations and indefinite isometric immersions. Pacific J. Math. 142 (1), 1-20 (1986).
2. [2] Atindogbe, C., Harouna, M. M., Tossa, J.: Lightlike hypersurfaces in Lorentzian manifolds with constant screen principal curvatures. Afr. Diaspora
J. Math. 16 (2), 31-45 (2014).
3. [3] Bishop, R., Crittenden, R.: Geometry of manifolds. American Mathematical Society, Providence (2001).
4. [4] Bonnet, O.: Mémoire sur la théorie des surfaces applicables. J. Ec. Polyt. 92, 72-92 (1867).
5. [5] Atindogbe, C. Ezin, J. P., Tossa, J.: Reduction of the codimension for lightlike isotropic submanifolds. J. Geom. Phys. 42 (1-2), 1-11 (2002).