Cohomologie $L^p$ et pincement

Pierre Pansu (1)

1 LM-Orsay - Laboratoire de Mathématiques d'Orsay

A sharp vanishing theorem for the $L^p$ 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.

Mots clés: Lp-cohomology; negative curvature; homogeneous space; Besov space

Domaines: Géométrie différentielle [math.DG]

Pierre Pansu. Cohomologie $L^p$ et pincement. Comment. Math. Helv., 2008, 83, pp.327-357. ⟨hal-00720220⟩