Great circle fibrations of the three-sphere
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Publication:1056418
DOI10.1215/S0012-7094-83-05003-2zbMath0523.55020OpenAlexW2022496880MaRDI QIDQ1056418
Publication date: 1983
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1215/s0012-7094-83-05003-2
Sphere bundles and vector bundles in algebraic topology (55R25) Global Riemannian geometry, including pinching (53C20) Classification of fiber spaces or bundles in algebraic topology (55R15) Spaces and manifolds of mappings (including nonlinear versions of 46Exx) (58D99)
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Cites Work
- On manifolds homeomorphic to the 7-sphere
- Division algebras, fibrations of spheres by great spheres and the topological determination of space by the gross behavior of its geodesics
- Odd-dimensional Wiedersehen manifolds are spheres
- Any Blaschke manifold of the homotopy type of \(\mathbb{C} P^ n\) has the right volume
- Ăber die Abbildungen der dreidimensionalen Sphäre auf die Kugelfläche
- Division algebras and fibrations of spheres by great spheres
- On the volume of manifolds all of whose geodesics are closed
- Auf-Wiedersehens-Flächen
- A Note on Skew-Hopf Fibrations
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