Rigidity of real-analytic actions of $SL(n,\Z)$ on $\T^n$: A case of realization of Zimmer program

Details Rigidity of real-analytic actions of $SL(n,\Z)$ on $\T^n$: A case of realization of Zimmer program Rigidity of real-analytic actions of $SL(n,\Z)$ on $\T^n$: A case of realization of Zimmer program

2010-02-15

arxiv.org/abs/1002.2942v1

Mathematics

Dynamical Systems

Scientific paper

We prove that any real-analytic action of $SL(n,\Z), n\ge 3$ with standard
homotopy data that preserves an ergodic measure $\mu$ whose support is not
contained in a ball, is analytically conjugate on an open invariant set to the
standard linear action on the complement to a finite union of periodic orbits.

Affiliated with

Also associated with

No associations

Rating

Rigidity of real-analytic actions of $SL(n,\Z)$ on $\T^n$: A case of realization of Zimmer program does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Rigidity of real-analytic actions of $SL(n,\Z)$ on $\T^n$: A case of realization of Zimmer program, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Rigidity of real-analytic actions of $SL(n,\Z)$ on $\T^n$: A case of realization of Zimmer program will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-597455