The diffeomorphism type of certain 𝑆³-bundles over 𝑆⁴

DOI10.1090/S0002-9939-01-06380-8zbMath0997.53029OpenAlexW2764542597MaRDI QIDQ2781263

Marc Sanchez, Frederick H. jun. Wilhelm

Publication date: 19 March 2002

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-01-06380-8

zbMATH Keywords

diffeomorphism typeunit tangent bundle

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Differentiable structures in differential topology (57R55)

Cites Work

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• On manifolds homeomorphic to the 7-sphere
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• An exotic sphere with nonnegative sectional curvature
• Some bundles of non-negative curvature
• Examples of Riemannian manifolds with positive curvature almost everywhere
• A classification of \(S^{3}\)-bundles over \(S^{4}\)
• Curvature and symmetry of Milnor spheres
• An exotic sphere with positive curvature almost everywhere.
• The geometry of the Hopf fibrations
• Sur les difféomorphismes de la sphère de dimension trois \(\Gamma_ 4 = 0\)
• The Homotopy Theory of Sphere Bundles Over Spheres (II)
• Exotic spheres with lots of positive curvatures

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