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Differentiable families of subspaces. (English) Zbl 0803.58010
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.

MSC:
 58D15 Manifolds of mappings 58C06 Set-valued and function-space valued mappings on manifolds
Full Text:
References:
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