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Degenerate submanifolds of pseudo-Riemannian manifolds are quite difficult tostudy because there is no prefered connection when the submanifold is nottotally geodesic. For the particular case of degenerate totally umbilicalhypersurfaces, we show that there are "Weyl" connections adapted to the inducedstructure on the hypersurface. We begin the study of these with their holonomy.

A note on conformal connections on lightlike hypersurfaces