Positive Ricci curvature on simply-connected manifolds with cohomogeneity-two torus actions

DOI10.1090/proc/14961zbMath1440.53039arXiv1609.06125OpenAlexW2995372757MaRDI QIDQ5111519

Diego Corro, Fernando Galaz-García

Publication date: 27 May 2020

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.06125

zbMATH Keywords

torus actionpositive Ricci curvaturecohomogeneity twosymmetry rank

Mathematics Subject Classification ID

Compact Lie groups of differentiable transformations (57S15) Global Riemannian geometry, including pinching (53C20)

Related Items (2)

Local symmetry rank bound for positive intermediate Ricci curvatures ⋮ Generalized surgery on Riemannian manifolds of positive Ricci curvature

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Positive Ricci curvature on the connected sums of \(S^ n\times S^ m\)
• Erratum and Addendum for ``Rational homology 5-spheres with positive Ricci curvature
• Positive Ricci curvature on fibre bundles
• 6-dimensional manifolds with effective \(T^ 4-\)actions
• Torus group actions on simply connected manifolds
• Positively curved manifolds with maximal symmetry-rank
• Invariant metrics of positive Ricci curvature on principal bundles
• Cohomogeneity one manifolds with positive Ricci curvature
• On positive Sasakian geometry
• Positive Ricci curvature on highly connected manifolds
• Three-manifolds with positive Ricci curvature
• Rational homology 5-spheres with positive Ricci curvature
• Metrics of positive Ricci curvature on quotient spaces
• Transformation groups in differential geometry.
• A conjecture concerning positive Ricci curvature and the Witten genus
• Polar manifolds and actions
• How to lift positive Ricci curvature
• The classification of compact simply connected biquotients in dimension 6 and 7
• \(G\)-manifolds with positive Ricci curvature and many isolated singular orbits
• The classification of compact simply connected biquotients in dimensions 4 and 5
• New connected sums with positive Ricci curvature
• Simply connected five-manifolds
• Circle bundles over 4-manifolds
• Cohomogeneity-two torus actions on non-negatively curved manifolds of low dimension
• Toral Actions on 5-Manifolds
• Examples of complete manifolds of positive Ricci curvature with nilpotent isometry groups
• Transformation Groups on Cohomology Projective Spaces
• Surgery on Ricci positive manifolds
• Low-dimensional manifolds with non-negative curvature and maximal symmetry rank
• Classification of the Actions of the Circle on 3-Manifolds
• Actions of the Torus on 4-Manifolds. I

This page was built for publication: Positive Ricci curvature on simply-connected manifolds with cohomogeneity-two torus actions