Deformations of group actions
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Abstract:
Let $G$ be a non-compact real algebraic group and $\Gamma <G$ a lattice. One purpose of this paper is to show that there is a smooth, volume preserving, mixing action of $G$ or $\Gamma$ on a compact manifold which admits a smooth deformation. In fact, we prove a stronger statement by exhibiting large finite dimensional spaces of deformations. We also describe some other, rather special, deformations when $G=SO(1,n)$.References
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Additional Information
- David Fisher
- Affiliation: Department of Mathematics, Rawles Hall, Indiana University, Bloomington, Indiana 47405
- MR Author ID: 684089
- Received by editor(s): July 5, 2006
- Published electronically: July 20, 2007
- Additional Notes: The author was partially supported by NSF grant DMS-0226121 and a PSC-CUNY grant.
- © Copyright 2007
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 360 (2008), 491-505
- MSC (2000): Primary 37C85
- DOI: https://doi.org/10.1090/S0002-9947-07-04372-3
- MathSciNet review: 2342012