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arxiv: 0711.2746 · v1 · submitted 2007-11-17 · 🧮 math.DG · math.DS

Actions of semisimple Lie groups preserving a degenerate Riemannian metric

classification 🧮 math.DG math.DS
keywords degeneratemetricriemannianspaceactionactionsendowedessentially
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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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