On minimal hypersurfaces of nonnegatively Ricci curved manifolds
On minimal hypersurfaces of nonnegatively Ricci curved manifolds
We consider a complete open riemannian manifold M of nonnegative Ricci curvature and a rectifiable hypersurface ∑ in M which satisfies some local minimizing property. We prove a structure theorem for M and a regularity theorem for ∑. More precisely, a covering space of M is shown to split off …