Isometric immersions of closed manifolds of nonnegative curvature

Let M be a closed manifold and let f: M -s- R N be an immersion inducing a C2-smooth (respectively, polyhedral) metric of nonnegative curvature on M. If this nonnegativity property is preserved under all affine transformations of$LN, then f is an embedding into the boundary of a C 2 -smooth convex body (respectively, a convex polyhedron) in a certain ℝn+1 c ℝN. ©2002 Plenum Publishing Corporation.