Compact differentiable transformation groups on exotic spheres

DOI10.1007/BF01459789zbMath0808.57026MaRDI QIDQ1337558

Eldar J. Straume

Publication date: 9 November 1994

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/165214

zbMATH Keywords

concordanceexotic spherescompact Lie subgroups of \(\text{Diff}(M)\)geometric weight systemregular actions of classical groups

Mathematics Subject Classification ID

Compact Lie groups of differentiable transformations (57S15) Homotopy spheres, Poincaré conjecture (57R60)

Related Items (6)

Topological transformation groups of manifolds over non-Archimedean fields, their representations, and quasi-invariant measures. I. ⋮ Some smooth circle and cyclic group actions on exotic spheres ⋮ A note on the degree of symmetry of exotic spheres ⋮ An infinite family of Gromoll-Meyer spheres ⋮ A minimal Brieskorn 5-sphere in the Gromoll-Meyer sphere and its applications ⋮ Equivariant homotopy and deformations of diffeomorphisms

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On manifolds homeomorphic to the 7-sphere
• On the construction of constant mean curvature imbeddings of exotic and/or knotted spheres into \(S^ n(1)\)
• On the construction of codimension two minimal immersions of exotic spheres into Euclidean spheres. II
• On the orbit structures of SU(n)-actions on manifolds of the type of Euclidean, spherical or projective spaces
• Concordance classes of regular O(n)-actions on homotopy spheres
• The topological version of groups generated by reflections
• Scalar curvature, non-abelian group actions, and the degree of symmetry of exotic spheres
• Concordance classes of regular \(U_n\) and \(Sp_n\) action on homotopy spheres
• Multiaxial actions on manifolds
• Harmonic spinors
• Transformation groups on spheres with two types of orbits
• Beispiele zur Differentialtopologie von Singularitäten
• A manifold which does not admit any differentiable structure
• On compact subgroups of the diffeomorphism groups of Kervaire spheres
• On the bound of the dimensions of the isometry groups of all possible riemannian metrics on an exotic sphere
• On the classification of \(O(n)\)-manifolds
• \(O(n)\)-manifolds, exotic spheres, and singularities
• The degree of symmetry of homotopy spheres
• Groups of homotopy spheres. I
• Compact connected Lie transformation groups on spheres with low cohomogeneity. II
• Seminar on Transformation Groups. (AM-46)
• Weyl Groups and the Regularity Properties of Certain Compact Lie Group Actions
• The integral weight system for torus actions on spheres with no fixed point.
• Differentiable Actions of Compact Connected Classical Groups I

This page was built for publication: Compact differentiable transformation groups on exotic spheres