分野別セミナー

Classic Delaunay surfaces are highly symmetric constant mean curvature (CMC) submanifolds of space forms. In this talk I will discuss 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. The construction specializes to the classic examples in round spheres, and allows to obtain Delaunay type hypersurfaces in many other ambient spaces, ranging from complex and quaternionic projective spaces to exotic Kervaire spheres. This is a joint work with Renato G. Bettiol, Notre Dame, USA.