%0 Journal Article %T Riesz transform on manifolds with quadratic curvature decay %A Gilles Carron %J Mathematics %D 2014 %I arXiv %X We investigate the $L^p$-boundness of the Riesz transform on Riemannian manifolds whose Ricci curvature has quadratic decay. Two criteria for the $L^p$-unboundness of the Riesz transform are given. We recover known results about manifolds that are Euclidean or conical at infinity. %U http://arxiv.org/abs/1403.6278v1