Angles between Euclidean subspaces

Sheng Jiang (1)

1 Department of Mathematics

The angle between two subspaces of dimensions p and q in a Euclidean space is considered by using exterior algebra. Some properties of angles are obtained. The relation between such a higher dimensional angle and the usual principal angles is also given. And finally, an application to Grassmann manifolds is briefly discussed.

Mots clés: higher-dimensional angle; principal angles; Grassmann manifolds

Domaines: Mathématiques [math]

Sheng Jiang. Angles between Euclidean subspaces. Geometriae Dedicata, 1996, ⟨10.1007/BF00148212⟩. ⟨hal-01333799⟩