Document Type
Article
Publication Date
4-3-2018
Publication Title
Algebraic & Geometric Topology
Abstract
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
Volume
18
Issue
3
First Page
1323
Last Page
1360
DOI
10.2140/agt.2018.18.1323
Creative Commons License
This work is licensed under a Creative Commons Attribution-NonCommercial-Share Alike 4.0 International License.
Recommended Citation
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.
https://scholarworks.smith.edu/mth_facpubs/36
Comments
Archived as published.
First published in Algebraic & Geometric Topology in Vol. 18 (2018), No. 3, published by Mathematical Sciences Publishers,