Deformations of group actions
David Fisher
Abstract
Let G be a noncompact real algebraic group and <G a lattice. One purpose of this paper is to show that there is an smooth, volume preserving, mixing action of G or on a compact manifold which admits a smooth deformation. We also describe some other, rather special, deformations when G=SO(1,n) and provide a simple proof that any action of a compact Lie group is locally rigid.
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