The Blaschke conjecture and great circle fibrations of spheres
Differential Geometry
2016-10-14 v4
Abstract
We construct an explicit diffeomorphism taking any fibration of a sphere by great circles into the Hopf fibration, using elementary geometry--indeed the diffeomorphism is a local (differential) invariant, algebraic in derivatives.
Cite
@article{arxiv.math/0112027,
title = {The Blaschke conjecture and great circle fibrations of spheres},
author = {Benjamin McKay},
journal= {arXiv preprint arXiv:math/0112027},
year = {2016}
}
Comments
61 pages, 8 figures, corrected errors in the published version