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Germs of fibrations of
spheres by great circles always extend to the whole
sphere
Patricia Cahn, Herman Gluck and Haggai Nuchi |
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Algebraic & Geometric Topology 18 (2018) 1323–1360
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Abstract |
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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. |
Keywords
fibration, great circles, fiber bundles, Blaschke manifold,
spheres
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Mathematical Subject Classification 2010
Primary: 53A07, 53C22, 55R10
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References |
Publication
Received: 20 May 2016
Revised: 27 January 2017
Accepted: 22 February 2017
Published: 3 April 2018
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Authors |
| Patricia Cahn | |
| Department of Mathematics and
Statistics Smith College Northampton, MA United States |
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| Herman Gluck | |
| Department of Mathematics University of Pennsylvania Philadelphia, PA United States |
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| Haggai Nuchi | |
| Department of Mathematics University of Toronto Toronto, ON Canada |
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