On nonnegatively curved 4-manifolds with discrete symmetry

DOI10.1007/s10474-009-8237-4zbMath1212.53056OpenAlexW2117826744MaRDI QIDQ987591

Jin Hong Kim, Hee Kwon Lee

Publication date: 13 August 2010

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-009-8237-4

zbMATH Keywords

Euler characteristichomologysectional curvatureLefschetz fixed point formulaisolated fixed pointeffective and isometric finite group actionnon-isolated fixed pointsimply connected \(4\)-manifold

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Finite transformation groups (57S17) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Cites Work

• Unnamed Item
• The topology of four-dimensional manifolds
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• Notes on Perelman's papers
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• Non-linear circle actions on the 4-sphere and twisting spun knots
• On the topology of nonnegatively curved simply connected 4-manifolds with discrete symmetry
• On the topology of nonnegatively curved simply connected 4-manifolds with continuous symmetry
• Symmetry groups of four-manifolds
• Circle Actions on Simply Connected 4-Manifolds
• Classification of Circle Actions on 4-Manifolds
• New Extremal Problems for the Riemannian Recognition Program via Alexandrov Geometry

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