| Titre |
A note on conformal connections on lightlike hypersurfaces. |
| Auteurs |
ATINDOGBE COMLAN CYRIAQUE [1],
BERARD BERGERY Lionel [2],
|
| Journal: |
CONFORMAL GEOMETRY AND DYNAMICS |
| Catégorie Journal: |
Internationale |
| Impact factor: |
0 |
| Volume Journal: |
11 |
| DOI: |
|
| Resume |
Degenerate submanifolds of pseudo-Riemannian manifolds are
quite difficult to study because there is no preferred connection when the sub-
manifold is not totally geodesic. For the particular case of degenerate totally
umbilical hypersurfaces, we show that there are “Weyl” connections adapted
to the induced structure on the hypersurface. We begin the study of these with their holonomy. |
| Mots clés |
Lightlike hypersurface, screen distribution, conformal connection, ho-
lonomy group. |
| Pages |
1 - 11 |
| Fichier |
(PDF) |