Cohomogeneity-two torus actions on non-negatively curved manifolds of low dimension

DOI10.1007/s00209-013-1190-5zbMath1296.53066arXiv1111.1640OpenAlexW2014975600MaRDI QIDQ2636974

Martin Kerin, Fernando Galaz-García

Publication date: 18 February 2014

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1111.1640

zbMATH Keywords

circle actiontorus action4-manifoldsnon-negative curvaturesymmetry rank5-manifolds

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Related Items (20)

Nonnegatively curved five-manifolds with non-abelian symmetry ⋮ Torus actions on Alexandrov 4-spaces ⋮ Isometric actions on the four dimensional Minkowski spacetime ⋮ On the double soul conjecture ⋮ 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 panoramic glimpse of manifolds with sectional curvature bounded from below ⋮ Almost non-negatively curved 4-manifolds with torus symmetry ⋮ Semi-free actions with manifold orbit spaces ⋮ Non-negatively curved 6-manifolds with almost maximal symmetry rank ⋮ Torus actions on rationally elliptic manifolds ⋮ The classification of compact simply connected biquotients in dimensions 4 and 5 ⋮ A knot characterization and 1-connected nonnegatively curved 4-manifolds with circle symmetry ⋮ Nonnegatively curved 5-manifolds with almost maximal symmetry rank ⋮ Torus actions, maximality, and non-negative curvature ⋮ Positively curved Riemannian orbifolds and Alexandrov spaces with circle symmetry in dimension 4 ⋮ Torus manifolds and non-negative curvature ⋮ Low dimensional polar actions ⋮ A Note on Maximal Symmetry Rank, Quasipositive Curvature, and Low Dimensional Manifolds

Cites Work

• Unnamed Item
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• A knot characterization and 1-connected nonnegatively curved 4-manifolds with circle symmetry
• On the curvature of biquotients
• On the topology of positively curved 4-manifolds with symmetry
• 6-dimensional manifolds with effective \(T^ 4-\)actions
• Torus group actions on simply connected manifolds
• Non-linear circle actions on the 4-sphere and twisting spun knots
• Positively curved manifolds with maximal symmetry-rank
• On the topology of nonnegatively curved simply connected 4-manifolds with continuous symmetry
• Differential topological restrictions by curvature and symmetry
• Cheeger manifolds and the classification of biquotients.
• Some examples of manifolds of nonnegative curvature
• Les variétés riemanniennes homogenes simplement connexes de dimension impaire à courbure strictement positive
• Torus actions on manifolds of positive sectional curvature.
• Positively curved cohomogeneity one manifolds and 3-Sasakian geometry
• Nonnegatively curved fixed point homogeneous manifolds in low dimensions
• Cohomogeneity one manifolds of even dimension with strictly positive sectional curvature
• Positively curved manifolds with symmetry
• Simply connected five-manifolds
• Compact homogeneous Riemannian manifolds with strictly positive curvature
• Circle bundles over 4-manifolds
• Lifting group actions and nonnegative curvature
• Toral Actions on 5-Manifolds
• Nonnegatively and Positively curved manifolds
• Circle Actions on Simply Connected 4-Manifolds
• Classification of Circle Actions on 4-Manifolds
• Low-dimensional manifolds with non-negative curvature and maximal symmetry rank
• Actions of the Torus on 4-Manifolds. I

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