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On fibrations with flat fibers

Published 16 Mar 2012 in math.AT, math.CO, and math.DG | (1203.3709v1)

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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