Abstract
Let Γ = SL(n, ℤ) or any subgroup of finite index, n ≥ 4. We show that the standard action of Γ on {Mathematical expression} n is locally rigid, i.e., every action of Γ on {Mathematical expression} n by C∞ diffeomorphisms which is sufficiently close to the standard action is conjugate to the standard action by a C∞ diffeomorphism. In the course of the proof, we obtain a global rigidity result (Theorem 4.12) for actions of free abelian subgroups of maximal rank in SL(n, ℤ).
Original language | English (US) |
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Pages (from-to) | 203-241 |
Number of pages | 39 |
Journal | Israel Journal of Mathematics |
Volume | 75 |
Issue number | 2-3 |
DOIs | |
State | Published - Oct 1991 |
All Science Journal Classification (ASJC) codes
- General Mathematics