Quelques remarques sur les actions analytiques des reseaux des groupes de Lie de rang superieur
Differential Geometry
2009-10-31 v1 Dynamical Systems
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.
Cite
@article{arxiv.math/9903002,
title = {Quelques remarques sur les actions analytiques des reseaux des groupes de Lie de rang superieur},
author = {Abdelghani Zeghib},
journal= {arXiv preprint arXiv:math/9903002},
year = {2009}
}
Comments
Latex, 12 pages. A slightly detailed version of a note submitted to C.R.A.S