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On a normalization of a Grassmann manifold

Differential Geometry 2007-05-23 v1

Abstract

On the Grassmann manifold G (m, n) of m-dimensional subspaces of an n-dimensional projective space P^n, a certain supplementary construction called the normalization is considered. By means of this normalization, one can construct the structure of a Riemannian or semi-Riemannian manifold or an affine connection on G(m, n).

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Cite

@article{arxiv.math/9806088,
  title  = {On a normalization of a Grassmann manifold},
  author = {Maks A. Akivis and Vladislav V. Goldberg},
  journal= {arXiv preprint arXiv:math/9806088},
  year   = {2007}
}

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LaTeX, 8 pages