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The Cartan model of the canonical vector bundles over the Grassmannian manifolds

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Abstract

We give a representation of the canonical vector bundles

over the Grassmannian manifolds G(n, p) as noncompact symmetric affine spaces together with their Cartan model in the group of the Euclidean motions SE(n).

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Authors and Affiliations

  1. Mathematical Institute, SANU, Belgrade, Serbia

    Božidar. Jovanović

Authors
  1. Božidar. Jovanović
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Additional information

The author was supported by the Serbian Ministry of Science (Grant 144014).

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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 48, No. 4, pp. 772–777, July–August, 2007.

Original Russian Text Copyright © 2007 Jovanović B.

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Jovanović, B. The Cartan model of the canonical vector bundles over the Grassmannian manifolds. Sib Math J 48, 616–620 (2007). https://doi.org/10.1007/s11202-007-0063-8

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  • DOI: https://doi.org/10.1007/s11202-007-0063-8

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