Actions of semisimple Lie groups preserving a degenerate Riemannian metric

Bekkara, E.; Frances, C.; Zeghib, A.

doi:10.1090/S0002-9947-09-05030-2

Actions of semisimple Lie groups preserving a degenerate Riemannian metric
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by E. Bekkara, C. Frances and A. Zeghib

Trans. Amer. Math. Soc. 362 (2010), 2415-2434

DOI: https://doi.org/10.1090/S0002-9947-09-05030-2

Published electronically: December 17, 2009

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Abstract:

We prove a rigidity of the lightcone in Minkowski space. It is (essentially) the unique space endowed with a lightlike metric and supporting an isometric nonproper action of a semisimple Lie group.

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