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arXiv · 1203.3709

On fibrations with flat fibers

Valentin Ovsienko·Serge Tabachnikov
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Abstract

We describe pairs (p,n) such that n-dimensional affine space is fibered by pairwise skew p-dimensional affine subspaces. The problem is closely related with the theorem of Adams on vector fields on spheres and the Hurwitz-Radon theory of composition of quadratic forms.

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Valentin Ovsienko, Serge Tabachnikov. 2012-03-16. On fibrations with flat fibers. https://doi.org/10.1112/blms%2Fbds116

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