IMMERSIONS OF COHOMOGENEITY ONE RIEMANNIAN-MANIFOLDS

This work deals with positively curved compact Riemannian manifolds wh ich are acted on by a closed Lie group of isometries whose principal o rbits have codimension one and are isotropy irreducible homogeneous sp aces. For such manifolds we can show that their universal covering man ifold may be isometrically immersed as a hypersurface of revolution in an euclidean space.