Exotic spheres with lots of positive curvatures

DOI10.1007/BF02921960zbMath1023.53024OpenAlexW1964690790WikidataQ124989918 ScholiaQ124989918MaRDI QIDQ5950195

Frederick H. jun. Wilhelm

Publication date: 6 December 2001

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02921960

zbMATH Keywords

Riemannian submersionsectional curvature\(S^3\)-bundlesexotic 7-spheres

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Related Items (9)

Exotic spheres and curvature ⋮ ALMOST NONNEGATIVE CURVATURE ON SOME FAKE 6- AND 14-DIMENSIONAL PROJECTIVE SPACES ⋮ The diffeomorphism type of certain 𝑆³-bundles over 𝑆⁴ ⋮ Pulling back the Gromoll-Meyer construction and models of exotic spheres ⋮ Positive Ricci curvature on fiber bundles with compact structure group ⋮ Examples of Riemannian manifolds with positive curvature almost everywhere ⋮ How to lift positive Ricci curvature ⋮ An exotic sphere with positive curvature almost everywhere. ⋮ Rigidity of flat sections on non-negatively curved pullback submersions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On manifolds homeomorphic to the 7-sphere
• A proof of the Smale conjecture, \(Diff(S^ 3)\simeq O(4)\)
• Fat bundles and symplectic manifolds
• Positive Ricci curvature on fibre bundles
• New examples of manifolds with strictly positive curvature
• The fundamental groups of almost nonnegatively curved manifolds
• An exotic sphere with nonnegative sectional curvature
• Some exotic spheres with positive Ricci curvature
• Some bundles of non-negative curvature
• On a certain family of closed 13-dimensional Riemannian manifolds of positive curvature
• The geometry of the Hopf fibrations
• Some examples of manifolds of nonnegative curvature
• The fundamental equations of a submersion
• Compact homogeneous Riemannian manifolds with strictly positive curvature
• An invariant for certain smooth manifolds
• An infinite family of distinct 7-manifolds admitting positively curved Riemannian structures
• Some Group Actions on Homotopy Spheres of Dimension Seven and Fifteen

This page was built for publication: Exotic spheres with lots of positive curvatures