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Zbl 0803.58010
Ferrer, J.; García, I.; Puerta, F.
Differentiable families of subspaces.
(English)
[J] Linear Algebra Appl. 199, 229-252 (1994). ISSN 0024-3795

A differentiable family of $k$-dimensional subspaces of $K\sp n$ is viewed as a mapping from the space of parameters $M$ into the Grassmann manifold $\text{Gr}\sb{k,n}$. There are given two local characterizations of such families and their globalized versions when $M$ is contractible.
[D.Motreanu (Iaşi)]
MSC 2000:
*58D15 Manifolds of mappings
58C06 Set-valued mappings etc. on manifolds

Keywords: differentiability; principal bundles; Grassmann manifold

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