Homogeneous submanifolds of higher rank and parallel mean curvature
Homogeneous submanifolds of higher rank and parallel mean curvature
Let M n , n > 2 , be an orbit of a representation of a compact Lie group which is irreducible and full as a submanifold of the ambient space.We prove that if M admits a nontrivial (i.e., not a multiple of the position vector) locally defined parallel normal …