On p-tuples of the Grassmann manifolds

Joël Rouyer (1)

1 LMIA - Laboratoire de Mathématiques Informatique et Applications [UHA]

We provide a matrix invarariant for isometry classes of p-tuples of points in the Grassmann manifold G_{n}(K^{d}) (K=R or C). This invariant fully caracterizes the p-tuple. We use it to determine the regular p-tuples of G₂(R^{d}), G₃(R^{d}) and G₂(C^{d}).

Mots clés: Grassmann manifold Trigonometry

Domaines: Géométrie métrique [math.MG]

Joël Rouyer. On p-tuples of the Grassmann manifolds. 2010. ⟨hal-00491032⟩