Algebraic & Geometric Topology
We prove that every germ of a smooth fibration of an odd-dimensional round sphere by great circles extends to such a fibration of the entire sphere, a result previously known only in dimension three.
fibration, great circles, fiber bundles, Blaschke manifold, spheres
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Cahn, Patricia; Gluck, Herman; and Nuchi, Haggai, "Germs of Fibrations of Spheres by Great Circles Always Extend to the Whole Sphere" (2018). Mathematics and Statistics: Faculty Publications, Smith College, Northampton, MA.