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arxiv: math/0112027 · v4 · pith:O3OXIPMPnew · submitted 2001-12-03 · 🧮 math.DG

The Blaschke conjecture and great circle fibrations of spheres

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keywords diffeomorphismfibrationgreatalgebraicblaschkecirclecirclesconjecture
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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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