Michael C. Harrison

activity

20052025

most citedSkew flat fibrations

14 citations · 55 across the 20 of their papers we have counts for

collaborators

Showing 2022 · math.GTShow all

3 papers · 2 filters

math.GT2022

Unit sphere fibrations in Euclidean space

Daniel Asimov, Florian Frick, Michael Harrison +1

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

math.GT2022

Tangent ray foliations and their associated outer billiards

Yamile Godoy, Michael Harrison, Marcos Salvai

Let $v$ be a unit vector field on a complete, umbilic (but not totally geodesic) hypersurface $N$ in a space form; for example on the unit sphere $S^{2 k - 1} \subset R^{2 k}$ …

math.GT2022

Skew and sphere fibrations

Michael Harrison

A great sphere fibration is a sphere bundle with total space $S^{n}$ and fibers which are great $k$ -spheres. Given a smooth great sphere fibration, the central projection to any tang…