Commentarii Mathematici Helvetici


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Volume 83, Issue 2, 2008, pp. 327–357
DOI: 10.4171/CMH/126

Published online: 2008-06-30

Cohomologie Lp et pincement

Pierre Pansu[1]

(1) Université Paris-Sud 11, Orsay, France

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.

Keywords: Lp-cohomology, negative curvature, homogeneous space, Besov space

Pansu Pierre: Cohomologie Lp et pincement. Comment. Math. Helv. 83 (2008), 327-357. doi: 10.4171/CMH/126