Quelques remarques sur les actions analytiques des reseaux des groupes de Lie de rang superieur

Mathematics – Differential Geometry

Scientific paper

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Latex, 12 pages. A slightly detailed version of a note submitted to C.R.A.S

Scientific paper

10.1016/S0764-4442(99)80275-4

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.

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