$L^p$-cohomology and pinching

Pierre Pansu

(Université Paris-Sud)

Date: Oct 12, 2011, time: 08:30

Place: Centro De Giorgi, Scuola Normale Superiore

Abstract. We prove that Riemannian manifolds quasiisometric to complex hyperbolic plane cannot have sectional curvature pinched between $-1$ and a for $a<-\frac{1}{4}$. The proof uses the multiplicative structure on $L^p$-cohomology and considerations on differential forms on the Heisenberg group.