On a normalization of a Grassmann manifold
Maks A. Akivis, Vladislav V. Goldberg
Abstract
On the Grassmann manifold G (m, n) of m-dimensional subspaces of an n-dimensional projective space Pn, 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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