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Smooth \(Sp(2,\mathbf R)\)-actions on the 4-sphere

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Publication:1362571
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DOI10.2748/TMJ/1178225298zbMath0890.57050OpenAlexW2118322687MaRDI QIDQ1362571

Kazuo Mukōyama

Publication date: 25 June 1998

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

Full work available at URL: https://doi.org/10.2748/tmj/1178225298


zbMATH Keywords

fixed pointsphereprincipal isotropy


Mathematics Subject Classification ID

Noncompact Lie groups of transformations (57S20)


Related Items (3)

On smooth \(SO_0(p,q)\)-actions on \(S^{p+q-1}\). II ⋮ A note on equivalence classes of \(SO_0(p,q)\)-actions on \(S^{p+q-1}\) whose restricted \(SO(p)\times SO(q)\)-action is the standard action ⋮ Constructions of smooth \(SU(p, q)\)-actions on the projective space \(\mathbf P^{p + q - 1}_{\mathbb C}\) with \(m\) closed and \(m + 1\) open orbits




Cites Work

  • Unnamed Item
  • Unnamed Item
  • Real analytic SL(n,\({\mathbb{R}})\) actions on spheres
  • On smooth SL(2,\({\mathbb{C}})\) actions on 3-manifolds
  • On smooth \(SO_ 0(p,q)\)-actions on \(S^{p+q-1}\)
  • Compact transformation groups on \(Z_2\)-cohomology spheres with orbit of codimension 1
  • A global formulation of the Lie theory of transformation groups




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