Rigidity of real-analytic actions of SL(n,) on ⁿ: A case of realization of Zimmer program

الأصل · EN

We prove that any real-analytic action of SL(n,), n≥ 3 with standard homotopy data that preserves an ergodic measure μ 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.