, Volume 63, Issue 2, pp 113-121

Angles between Euclidean subspaces

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Abstract

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.

Supported by the National Natural Science Fund of P.R. China.