Positive scalar curvature with symmetry

DOI10.1515/CRELLE.2008.003zbMath1144.53048arXivmath/0512284OpenAlexW2073298771MaRDI QIDQ5459226

Bernhard Hanke

Publication date: 25 April 2008

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0512284

zbMATH Keywords

equivariant bordismspin structurepositive scalar curvaturesurgery

Mathematics Subject Classification ID

Compact Lie groups of differentiable transformations (57S15) Global Riemannian geometry, including pinching (53C20) Surgery and handlebodies (57R65) Equivariant cobordism (57R85)

Related Items (8)

Higher genera for proper actions of Lie groups. II: The case of manifolds with boundary ⋮ Surgery stable curvature conditions ⋮ Moduli spaces of invariant metrics of positive scalar curvature on quasitoric manifolds ⋮ On the curvature on \(G\)-manifolds with finitely many non-principal orbits ⋮ Cohomogeneity one manifolds and homogeneous spaces of positive scalar curvature ⋮ S1-Equivariant bordism, invariant metrics of positive scalar curvature, and rigidity of elliptic genera ⋮ Circle actions and scalar curvature ⋮ Higher genera for proper actions of Lie groups

Cites Work

• Equivariant \(s\)-cobordism theorems
• G-invariante Morse-Funktionen. (G-invariant Morse functions)
• On the structure of manifolds with positive scalar curvature
• Spin and scalar curvature in the presence of a fundamental group. I
• Equivariant spin bordism in low dimensions
• Scalar curvature, non-abelian group actions, and the degree of symmetry of exotic spheres
• Signatures and higher signatures of \(S^1\)-quotients
• Harmonic spinors
• Simply connected manifolds of positive scalar curvature
• Fixpunktfreie \(S^1\)-Aktionen
• Equivariant differential topology
• Unitary bordism of circle actions

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