CRM: Centro De Giorgi
logo sns
ERC Workshop on Geometric Analysis on sub-Riemannian and Metric Spaces

\(L^p\)-cohomology and pinching

speaker: Pierre Pansu (Université Paris-Saclay )

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.


timetable:
Wed 12 Oct, 8:30 - 9:20, Aula Dini
<< Go back