JournalscmhVol. 83 , No. 2DOI 10.4171/cmh/126

Cohomologie <var>L<sup>p</sup></var> et pincement

  • Pierre Pansu

    Université Paris-Sud 11, Orsay, France
Cohomologie <var>L<sup>p</sup></var> et pincement cover

Abstract

A sharp vanishing theorem for the Lp cohomology torsion of Riemannian manifolds with pinched negative curvature is given. It follows that certain negatively curved homogeneous spaces cannot be quasiisometric to better pinched manifolds.