A classification of the topological types of R\(^2\)-actions on closed orientable 3-manifolds

DOI10.1007/BF02684372zbMath0278.57015OpenAlexW2017403955MaRDI QIDQ1842936

Harold Rosenberg, Gilles Chatelet, Daniel Weil

Publication date: 1973

Published in: Publications Mathématiques (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=PMIHES_1974__43__261_0

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Foliations in differential topology; geometric theory (57R30)

Related Items (9)

A note on open 3-manifolds supporting foliations by planes ⋮ Homogenization of codimension 1 actions of \(\mathbb{R}^ n\) near a compact orbit ⋮ Actions of \({\mathbb{R}}^ p\) on closed manifolds ⋮ A differentiable classification of certain locally free actions of Lie groups ⋮ Foliations of \(M^ 3\) defined by \({\mathbb R}^ 2\)-actions ⋮ Manifolds which admit \(R^n\) actions ⋮ On the orbit structure of \(\mathbb R^n\)-actions on \(n\)-manfolds ⋮ Orbit structure of certain \(\mathbb R^2\)-actions on solid torus ⋮ Parallel spinors on globally hyperbolic Lorentzian four-manifolds

Cites Work

• Commuting vector fields on \(S^ 3\)
• Foliations by planes
• On irreducible 3-manifolds which are sufficiently large
• A classification of closed orientable 3-manifolds of rank two
• Reeb foliations
• Topological equivalence of Reeb foliations
• Foliations and Pseudogroups

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