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.
Cite this article
Pierre Pansu, Cohomologie <var>L<sup>p</sup></var> et pincement. Comment. Math. Helv. 83 (2008), no. 2, pp. 327–357DOI 10.4171/CMH/126