Stability of closed Lie subgroups in compact Lie groups
The aim of this paper is to prove the following theorem: Let U be a compact connected simple Lie group with a biinvariant Riemannian metric. A connected simple closed Lie subgroup G of index 1 in U is a stable minimal submanifold. If G is isomorphic to SU(2) then the converse is true.
scientific article; zbMATH DE number 4210438
scientific article