Conformal actions of $\mathfrak {sl}_n(\mathbb {R})$ and $\operatorname {SL}_n(\mathbb {R})\ltimes \mathbb {R}^n$ on Lorentz manifolds
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- by Scot Adams and Garrett Stuck PDF
- Trans. Amer. Math. Soc. 352 (2000), 3913-3936 Request permission
Abstract:
We prove that, for $n\ge 3$, a locally faithful action of $\operatorname {SL}_n(\mathbb {R})\ltimes \mathbb {R}^n$ or of $\operatorname {SL}_n({\mathbb R})$ by conformal transformations of a connected Lorentz manifold must be a proper action.References
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Additional Information
- Scot Adams
- Affiliation: School of Mathematics, University of Minnesota, Minneapolis, Minnesota 55455
- Garrett Stuck
- Affiliation: Department of Mathematics, University of Maryland, College Park, Maryland 20742
- Received by editor(s): March 24, 1998
- Received by editor(s) in revised form: August 24, 1998
- Published electronically: May 12, 2000
- Additional Notes: The first author was supported in part by NSF grant DMS-9703480.
- © Copyright 2000 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 352 (2000), 3913-3936
- MSC (1991): Primary 53C50, 54H15
- DOI: https://doi.org/10.1090/S0002-9947-00-02439-9
- MathSciNet review: 1650061