Compact connected Lie transformation groups on spheres with low cohomogeneity. I

DOI10.1090/memo/0569zbMath0854.57033OpenAlexW2045173982MaRDI QIDQ4873914

Eldar J. Straume

Publication date: 21 April 1996

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

Full work available at URL: https://doi.org/10.1090/memo/0569

zbMATH Keywords

Lie groupstransformation grouphomology spherescohomogeneitysmooth actionsgeometric weight system

Mathematics Subject Classification ID

Compact Lie groups of differentiable transformations (57S15) Representations of Lie and real algebraic groups: algebraic methods (Verma modules, etc.) (22E47)

Related Items (14)

The classification of taut irreducible representations ⋮ Isometric actions on spheres with an orbifold quotient ⋮ The Minkowski norm and Hessian isometry induced by an isoparametric foliation on the unit sphere ⋮ New examples of obstructions to non-negative sectional curvatures in cohomogeneity one manifolds ⋮ Homogeneous compact geometries ⋮ Standard homogeneous (α1,α2)${\big(\alpha _1,\alpha _2\big)}$‐metrics and geodesic orbit property ⋮ Cohomogeneity one manifolds with a small family of invariant metrics ⋮ Cohomogeneity one manifolds with singly generated rational cohomology ⋮ Isoparametric functions on exotic spheres ⋮ On cohomogeneity two Riemannian manifolds of non-positive curvature ⋮ How tightly can you fold a sphere? ⋮ Diameters of 3-sphere quotients ⋮ Taut representations of compact simple Lie groups ⋮ Representations whose minimal reduction has a toric identity component

This page was built for publication: Compact connected Lie transformation groups on spheres with low cohomogeneity. I