Remote Access Transactions of the American Mathematical Society
Green Open Access

Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Deformations of group actions


Author: David Fisher
Journal: Trans. Amer. Math. Soc. 360 (2008), 491-505
MSC (2000): Primary 37C85
Published electronically: July 20, 2007
MathSciNet review: 2342012
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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 [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC (2000): 37C85

Retrieve articles in all journals with MSC (2000): 37C85


Additional Information

David Fisher
Affiliation: Department of Mathematics, Rawles Hall, Indiana University, Bloomington, Indiana 47405

DOI: https://doi.org/10.1090/S0002-9947-07-04372-3
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.
Article copyright: © Copyright 2007 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.