Riesz transform and $L^p$ cohomology for manifolds with Euclidean ends

Gilles Carron, Thierry Coulhon, Andrew Hassell

Let $M$ be a smooth Riemannian manifold which is the union of a compact part and a finite number of Euclidean ends, $\RR^n \setminus B(0,R)$ for some $R>0$, each of which carries…