  In this paper we show that every area minimizing cone C^{n-1} in R^n can be
approximated by entirely smooth area minimizing hypersurfaces. This extensively
uses hyperbolic unfoldings of such hypersurfaces and the resulting potential
theory for the Jacobi field operator.
  Applications include the splitting theorem in scalar curvature geometry
saying that any (n-1)-dim. homology class of a compact manifold M^n with
positive scalar curvature can be represented by a smooth (!) compact
hypersurface that admits a positive scalar curvature metric.
