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On a normalization of a Grassmann manifold

Maks A. Akivis·Vladislav V. Goldberg
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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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Maks A. Akivis, Vladislav V. Goldberg. 1998-06-16. On a normalization of a Grassmann manifold. https://arxiv.org/abs/math/9806088

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