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On the Cartan Model of the Canonical Vector Bundles over Grassmannians

Differential Geometry 2007-11-13 v1 Mathematical Physics math.MP

Abstract

We give a representation of canonical vector bundles over Grassmannian manifolds as non-compact affine symmetric spaces as well as their Cartan model in the group of the Euclidean motions.

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Cite

@article{arxiv.math/0602132,
  title  = {On the Cartan Model of the Canonical Vector Bundles over Grassmannians},
  author = {Bozidar Jovanovic},
  journal= {arXiv preprint arXiv:math/0602132},
  year   = {2007}
}

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6 pages