The problem of classifying isoparametric hypersurfaces in spheres is still not completely solved. Recent contributions to the case with six different principal curvatures contain fundamental gaps. In my talk I present a structural approach towards the classification of isoparametric hypersurfaces in spheres. This approach gives new geometric insights and allows to reprove all classical results by different means.
Geometry-Topology Seminar
Thursday, September 11, 2014 - 4:30pm
Anna Siffert
Ruhr Univ. Bochum and U Penn