6-dimensional manifolds with effective \(T^ 4-\)actions

DOI10.1016/0166-8641(82)90016-5zbMath0479.57021OpenAlexW2038836119MaRDI QIDQ1162029

Hae-Soo Oh

Publication date: 1982

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0166-8641(82)90016-5

zbMATH Keywords

orbit spaceStiefel-Whitney classPontrjagin classequivariantly diffeomorphicsmooth effective actions of the 4-torus on simply connected 6-manifolds

Mathematics Subject Classification ID

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

Related Items

Cohomogeneity-two torus actions on non-negatively curved manifolds of low dimension ⋮ The geometry and topology of stationary multiaxisymmetric vacuum black holes in higher dimensions ⋮ Polar manifolds and actions ⋮ Positive Ricci curvature on simply-connected manifolds with cohomogeneity-two torus actions ⋮ A-foliations of codimension two on compact simply-connected manifolds ⋮ A uniqueness theorem for stationary Kaluza-Klein black holes ⋮ Torus actions on rationally elliptic manifolds ⋮ Low-dimensional manifolds with non-negative curvature and maximal symmetry rank ⋮ Low dimensional polar actions ⋮ A Note on Maximal Symmetry Rank, Quasipositive Curvature, and Low Dimensional Manifolds

Cites Work

• \(T^n\)-actions on simply connected \((n+2)\)-manifolds
• Actions of the torus on 4-manifolds. II
• Classification problems in differential topology. V: On certain 6- manifolds
• Toral Actions on 5-Manifolds
• Characteristic Classes. (AM-76)
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