Classification of compact transformation groups on cohomology quaternion projective spaces with codimension one orbits

zbMath0415.57026MaRDI QIDQ600144

Koichi Iwata

Publication date: 1978

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

zbMATH Keywords

equivariant diffeomorphismrational cohomology quaternion projective n-spacesmooth action of compact Lie group with codimension 1 orbit

Mathematics Subject Classification ID

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

Related Items (10)

Homogeneous hypersurfaces in symmetric spaces ⋮ Cohomogeneity one manifolds with a small family of invariant metrics ⋮ Cohomogeneity one manifolds with singly generated rational cohomology ⋮ Homogeneous and inhomogeneous isoparametric hypersurfaces in rank one symmetric spaces ⋮ Singular orbits in cohomogeneity one pseudo-Euclidean space \(\mathbb R^4_\nu \) ⋮ Classification of compact transformation groups on complex quadrics with codimension one orbits ⋮ Cohomogeneity one manifolds and self-maps of nontrivial degree ⋮ Compact transformation groups on rational cohomology Cayley projective planes ⋮ Cohomogeneity one actions on noncompact symmetric spaces of rank one ⋮ Polar Actions on Symmetric Spaces

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