Delaunay-Type Hypersurfaces in Cohomogeneity One Manifolds
Delaunay-Type Hypersurfaces in Cohomogeneity One Manifolds
Classical Delaunay surfaces are highly symmetric constant mean curvature (CMC) submanifolds of space forms. We prove the existence of Delaunay-type hypersurfaces in a large class of compact manifolds, using the geometry of cohomogeneity one group actions and variational bifurcation techniques. Our construction specializes to the classical examples in round spheres, …