Transactions of the American Mathematical Society

Conformal actions of ${\mathfrak{sl}_n(\mathbb{R} )}$ and ${\hbox{SL}_n(\mathbb{R} )\ltimes\mathbb{R} ^n}$ on Lorentz manifolds

Author(s): Scot Adams; Garrett Stuck
Journal: Trans. Amer. Math. Soc. 352 (2000), 3913-3936.
MSC (1991): Primary 53C50, 54H15
Posted: May 12, 2000
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We prove that, for $n\ge3$ , a locally faithful action of ${\hbox{SL}_n(\mathbb{R} )\ltimes\mathbb{R} ^n}$ or of $\hbox{SL}_n({\mathbb R})$ by conformal transformations of a connected Lorentz manifold must be a proper action.

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Scot Adams
Affiliation: School of Mathematics, University of Minnesota, Minneapolis, Minnesota 55455

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