Geometry of real Grassmannian manifolds. I, II
The author realizes the Plücker model of the real Grassmannian manifold as a submanifold of the Euclidean space \(\Lambda ({\mathbb R}^n)\) and establishes an isometry onto the classical Grassmannian manifold endowed with \(SO(n)\)-invariant metric. The decomposition of bi- and poly-vectors is studied. [For Part III, see the following review Zbl 0918.53009)].
scientific article; zbMATH DE number 1193402
scientific article