Codimension two product submanifolds with non-negative curvature

Abstract

We prove that if(Error rendering LaTeX formula) is an isometric immersion of a complete, non-compact Riemannian manifold M which is a product of non-negatively curved manifolds , non-flat and irreducible, then either f is -cylindrical; or f is a product of hypersurface immersions with or ; or f is -cylindrical with or when is compact, and when is non-compact.