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On smooth SL(2,\({\mathbb{C}})\) actions on 3-manifolds

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Publication:919327
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zbMath0706.57021MaRDI QIDQ919327

Tohl Asoh

Publication date: 1987

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


zbMATH Keywords

equivariantly diffeomorphicreal analytic actions of the group \(SL(2,{\mathbb{C}})\) on \(S^ 3\)transitive SL(2,\({\mathbb{C}})\) action


Mathematics Subject Classification ID

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


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Lie groups as multiplication groups of topological loops ⋮ Smooth \(Sp(2,\mathbf R)\)-actions on the 4-sphere ⋮ On smooth \(SO_0(p,q)\)-actions on \(S^{p+q-1}\). II ⋮ Bol loops as sections in semi-simple Lie groups of small dimension ⋮ 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 ⋮ Low dimensional actions of semisimple groups ⋮ Smooth actions of Lie groups and Lie algebras on manifolds ⋮ 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 ⋮ Smooth \(SL(n,\mathbb{H})\), \(Sp(n,\mathbb{C})\)-actions on \((4n-1)\)-manifolds



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