Reduction of the co-dimension of light-like isotropic sub-manifolds
| dc.creator | Atindogbe, Cyriaque | |
| dc.creator | Ezin, Jean-Pierre | |
| dc.creator | Tossa, Joël | |
| dc.date | 2000-12-19 | |
| dc.date.accessioned | 2026-07-07T04:28:13Z | |
| dc.date.available | 2026-07-07T04:28:13Z | |
| dc.description | We give a sufficient condition for a lightlike isotropic submanifold $M$, of dimension $n$, which is not totally geodesic in a semi-Riemannian manifold of constant curvature $c$ and of dimension $n+p (n < p)$, to admit a reduction of codimension. We show that this condition is a necessary and sufficient condition on the first transversal space of $M$. There are basic and non-trivial differences from the Riemannian case, as developed by Dajczer \textit{et al} in (\cite{dajczer}), due to the degenerate metric on $M$. This result extends in some sense,the one in \cite{keti} and \cite{dajczer} to lightlike isotropic submanifolds. | |
| dc.description | Latex files, 10 pages | |
| dc.identifier | https://arxiv.org/abs/math-ph/0012036 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0012036 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/56703 | |
| dc.subject | Mathematical Physics | |
| dc.title | Reduction of the co-dimension of light-like isotropic sub-manifolds | |
| dc.type | text |