Inserted: 7 oct 2012
Last Updated: 31 jul 2019
Journal: The Asian Journal of Mathematics
For a complete noncompact Riemannian manifold with smoothly bounded geometry, we prove the existence of isoperimetric regions in a larger space obtained by adding nitely many limit manifolds at innity. As one of many possible applications, we extend properties of the isoperimetric prole from compact manifolds to such noncompact manifolds.