Geometriae Dedicata

, Volume 63, Issue 2, pp 113-121

First online:

Angles between Euclidean subspaces

  • Sheng JiangAffiliated withDepartment of Mathematics, Yangzhou University

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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.

Mathematics Subject Classifications (1991)

51M05 51M16 51K05

Key words

higher-dimensional angle principal angles Grassmann manifolds