Resolvent at low energy and Riesz transform for Schrodinger operators on asymptotically conic manifolds. I.

Abstract

Let M° be a complete noncompact manifold and g an asymptotically conic manifold on M° , in the sense that M° compactifies to a manifold with boundary M in such a way that g becomes a scattering metric on M. A special case that we focus on is that of as Show more