On the homology of low-dimensional cohomogeneity one manifolds

DOI10.1007/s00031-010-9081-xzbMath1196.57022arXiv0907.2449OpenAlexW2080089966WikidataQ126201897 ScholiaQ126201897MaRDI QIDQ969615

Corey A. Hoelscher

Publication date: 7 May 2010

Published in: Transformation Groups (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0907.2449

zbMATH Keywords

group actionshomology groups

Mathematics Subject Classification ID

Compact Lie groups of differentiable transformations (57S15) Global Riemannian geometry, including pinching (53C20) Algebraic topology on manifolds and differential topology (57R19)

Related Items

Diffeomorphism type of six-dimensional cohomogeneity one manifolds ⋮ Almost nonnegative curvature operator and cohomology rings ⋮ Equivariant cohomology of cohomogeneity one actions ⋮ Localization of certain odd-dimensional manifolds with torus actions ⋮ Cohomogeneity one topological manifolds revisited ⋮ Classification and characterization of rationally elliptic manifolds in low dimensions ⋮ The equivariant cohomology ring of a cohomogeneity-one action

Cites Work

• Unnamed Item
• Unnamed Item
• New cohomogeneity one metrics with spin(7) holonomy
• Einstein metrics on principal torus bundles
• Topological structure of candidates for positive curvature
• Classification of cohomogeneity one manifolds in low dimensions
• 4-dimensional G-manifolds with 3-dimensional orbits
• The regular focal locus
• Cohomogeneity one manifolds with positive Ricci curvature
• Curvature and symmetry of Milnor spheres
• Cohomogeneity-one \(G_{2}\)-structures
• Positively curved cohomogeneity one manifolds and 3-Sasakian geometry
• Cohomogeneity one Einstein-Sasaki 5-manifolds
• Diffeomorphism type of six-dimensional cohomogeneity one manifolds
• Properties of some five-dimensional Einstein metrics