The Blaschke conjecture and great circle fibrations of spheres

Details The Blaschke conjecture and great circle fibrations of spheres The Blaschke conjecture and great circle fibrations of spheres

2001-12-03

arxiv.org/abs/math/0112027v3

Amer. J. Math. 126 (2004), no. 5, 1155--1191

Mathematics

Differential Geometry

61 pages, 8 figures

Scientific paper

10.1353/ajm.2004.0039

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.

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