Quelques remarques sur les actions analytiques des reseaux des groupes de Lie de rang superieur
arXiv:math/9903002 · doi:10.1016/S0764-4442(99)80275-4
Abstract
All the actions considered here are (real) analytic. Consider a subgroup of finite index of SL(n, Z). We prove, in particular, the (global) homotopical rigidity, for both its standard affine action on the torus of dimension n > 2, and its standard projective action on the sphere of dimesnion n-1>3.
Latex, 12 pages. A slightly detailed version of a note submitted to C.R.A.S