On fibrations with flat fibers
Algebraic Topology
2014-02-26 v1 Combinatorics
Differential Geometry
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.
Cite
@article{arxiv.1203.3709,
title = {On fibrations with flat fibers},
author = {Valentin Ovsienko and Serge Tabachnikov},
journal= {arXiv preprint arXiv:1203.3709},
year = {2014}
}