Compact transformation groups on rational cohomology Cayley projective planes

DOI10.2748/tmj/1178229347zbMath0506.57024OpenAlexW2058469695MaRDI QIDQ1836911

Koichi Iwata

Publication date: 1981

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178229347

zbMATH Keywords

codimension one orbitcompact Lie group acting smoothly on a smooth manifold which is simply connected of dimension 16 and has the rational cohomology of the Cayley projective plane

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Compact Lie groups of differentiable transformations (57S15)

Related Items (13)

Homogeneous hypersurfaces in symmetric spaces ⋮ Cohomogeneity one manifolds with a small family of invariant metrics ⋮ GKM actions on cohomogeneity one manifolds ⋮ Cohomogeneity one manifolds with singly generated rational cohomology ⋮ Homogeneous and inhomogeneous isoparametric hypersurfaces in rank one symmetric spaces ⋮ Cohomogeneity one actions on hyperbolic spaces ⋮ A classification of hyperpolar and cohomogeneity one actions ⋮ Low cohomogeneity and polar actions on exceptional compact Lie groups ⋮ Classification of compact transformation groups on complex quadrics with codimension one orbits ⋮ Cohomogeneity one manifolds and self-maps of nontrivial degree ⋮ Octonions, triality, the exceptional Lie algebra F4 and polar actions on the Cayley hyperbolic plane ⋮ Cohomogeneity one actions on noncompact symmetric spaces of rank one ⋮ Polar Actions on Symmetric Spaces

Cites Work

• Classification of compact transformation groups on cohomology quaternion projective spaces with codimension one orbits
• Compact transformation groups on complex projective spaces with codimension two principal orbits
• Lie Group Actions on a Cayley Projective Plane and a Note on Homogeneous Spaces of Prime Euler Characteristic
• Compact Transformation Groups of S n with an (n - 1)-Dimensional Orbit
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