Reduction of the co-dimension of light-like isotropic sub-manifolds

Details Reduction of the co-dimension of light-like isotropic sub-manifolds Reduction of the co-dimension of light-like isotropic sub-manifolds

2000-12-19

arxiv.org/abs/math-ph/0012036v1

Physics

Mathematical Physics

Latex files, 10 pages

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Reduction of the co-dimension of light-like isotropic sub-manifolds does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Reduction of the co-dimension of light-like isotropic sub-manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Reduction of the co-dimension of light-like isotropic sub-manifolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-256548