Homogeneity of Infinite Dimensional Isoparametric Submanifolds
Homogeneity of Infinite Dimensional Isoparametric Submanifolds
A subset S of a Riemannian manifold N is called extrinsically homogeneous if S is an orbit of a subgroup of the isometry group of N. Thorbergsson proved the remarkable result that every complete, connected, full, irreducible isoparametric submanifold of a finite dimensional Euclidean space of rank at least 3 …