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Simply connected closed smooth 5-manifolds with effective smooth U(2)- actions

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Publication:1157612
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DOI10.2748/TMJ/1178229491zbMath0471.57015OpenAlexW1980088880MaRDI QIDQ1157612

Hiroshi Ôike

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/1178229491


zbMATH Keywords

simply connected closed smooth 5-manifolds with effective smooth U(2)- actions


Mathematics Subject Classification ID

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


Related Items (2)

Nonnegatively curved five-manifolds with non-abelian symmetry ⋮ Actions of compact connected Lie groups on simply connected rational cohomology 5-spheres




Cites Work

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  • Smooth actions of special unitary groups on cohomology complex projective spaces
  • Smooth \(S^3\)-actions on n manifolds for \(n\leq 4\)
  • Classification of SO(3)-actions on five manifolds
  • Classification of SO(3)-actions on five-manifolds with singular orbits
  • Simply connected five-manifolds




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