A note on conformal connections on lightlike hypersurfaces

Details A note on conformal connections on lightlike hypersurfaces A note on conformal connections on lightlike hypersurfaces

2007-04-25

arxiv.org/abs/0704.3382v1

Conformal Geometry and Dynamics 11 (10/01/2007) 1-11

Mathematics

Differential Geometry

Scientific paper

Degenerate submanifolds of pseudo-Riemannian manifolds are quite difficult to
study because there is no prefered connection when the submanifold 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.

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