Institute of Mathematics for Industry

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Delaunay type hypersurfaces in cohomogeneity one manifolds


Hold Date 2014-01-24 16:00~2014-01-24 17:30

Place Seminar Room 2, Faculty of Mathematics building, Ito Campus

Object person researchers and graduate students 

Speaker Paolo Piccione (Universidade de São Paulo)

Abstract:
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.