Affine Hopf fibration
Algebraic Topology
2015-12-02 v2
Abstract
An affine Hopf fibration is a fibration of n-dimensional real affine space by p-dimensional pairwise skew affine subspaces. An example is a fibration of 3-space by pairwise skew lines, the result of the central projection of the classical Hopf fibration of 3-sphere. In this expository article, we describe the solution of the following problem: for which values of n and p does an affine Hopf fibration exist? The answer is given in terms of the Hurwitz-Radon function.
Keywords
Cite
@article{arxiv.1511.08894,
title = {Affine Hopf fibration},
author = {V. Ovsienko and S. Tabachnikov},
journal= {arXiv preprint arXiv:1511.08894},
year = {2015}
}