Actions of semisimple Lie groups preserving a degenerate Riemannian metric

Details Actions of semisimple Lie groups preserving a degenerate Riemannian metric Actions of semisimple Lie groups preserving a degenerate Riemannian metric

2007-11-17

arxiv.org/abs/0711.2746v1

Mathematics

Differential Geometry

22 pages

Scientific paper

We prove a rigidity of the lightcone in Minkowski space. It is essentially
the unique space endowed with a degenerate Riemannian metric, of lightlike
type, and supporting an isometric non-proper action of a semi-simple group.

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