Geometriae Dedicata

, Volume 63, Issue 2, pp 113–121

Angles between Euclidean subspaces

  • Sheng Jiang

DOI: 10.1007/BF00148212

Cite this article as:
Jiang, S. Geom Dedicata (1996) 63: 113. doi:10.1007/BF00148212


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 

Copyright information

© Kluwer Academic Publishers 1996

Authors and Affiliations

  • Sheng Jiang
    • 1
  1. 1.Department of MathematicsYangzhou UniversityYangzhouP.R. China

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