Unit sphere fibrations in Euclidean space

Daniel Asimov, Florian Frick, Michael Harrison +1

We show that if an open set in ${\mathbb{R}}^d$ can be fibered by unit $n$-spheres, then $d\ge 2n+1$, and if $d=2n+1$, then the spheres must be pairwise linked, and $n \in \left\…