Some Group Actions on Homotopy Spheres of Dimension Seven and Fifteen

DOI10.2307/2374068zbMath0509.57029OpenAlexW2058030014MaRDI QIDQ4747257

Michael W. Davis

Publication date: 1982

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/4c4ec533ffd891b1821d027153e4e2867839f280

zbMATH Keywords

exotic group actions4-plane bundle over the 4-sphere8-plane bundle over the 8- sphereaction of S03action of the exceptional Lie group G2biaxial actions on homotopy spheresgroup actions on homotopy spheres of dimension seven and fifteen

Mathematics Subject Classification ID

Sphere bundles and vector bundles in algebraic topology (55R25) Groups acting on specific manifolds (57S25) Finite transformation groups (57S17)

Related Items (9)

Blakers-Massey elements and exotic diffeomorphisms of 𝑆⁶ and 𝑆¹⁴ via geodesics ⋮ Quaternionic toric varieties ⋮ Smooth Group Actions on Sphere Bundles Over Spheres and on Brieskorn Manifolds ⋮ A classification of \(S^{3}\)-bundles over \(S^{4}\) ⋮ ALMOST NONNEGATIVE CURVATURE ON SOME FAKE 6- AND 14-DIMENSIONAL PROJECTIVE SPACES ⋮ An infinite family of Gromoll-Meyer spheres ⋮ Exotic spheres with lots of positive curvatures ⋮ Pulling back the Gromoll-Meyer construction and models of exotic spheres ⋮ How to lift positive Ricci curvature

This page was built for publication: Some Group Actions on Homotopy Spheres of Dimension Seven and Fifteen