A symmetric space of noncompact type has no equivariant isometric immersions into the Euclidean space
A symmetric space of noncompact type has no equivariant isometric immersions into the Euclidean space
Let M be a Riemannian globally symmetric space of noncompact type.Let G be the identity-connected component of the isometry group of M. Then(1) G acts transitively on M.(2) G is a semisimple Lie group, having noncompact simple factors.For a proof cf.[2, p. 194].Lemma.Let G be a semisimple Lie group, having …