Linear vector fields on 𝐺̃_{𝑘}(𝐑ⁿ)

Leite, Maria Luiza; de Miatello, Isabel Dotti

doi:10.1090/S0002-9939-1980-0587953-3

Linear vector fields on $\tilde {G}_k(\mathbf {R}^n)$
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by Maria Luiza Leite and Isabel Dotti de Miatello

Proc. Amer. Math. Soc. 80 (1980), 673-677

DOI: https://doi.org/10.1090/S0002-9939-1980-0587953-3

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Abstract:

We determine the maximal number of linearly independent vector fields on the grassmannian of oriented k-subspaces of ${R^n}$, which are induced by linear transformations of ${\Lambda ^k}({R^n})$.

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The Betti numbers of Grassmannians

Lineare Scharen orthogonaler Matrizen

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