Positive scalar curvature for manifolds with elementary abelian fundamental group

DOI10.1090/S0002-9939-04-07762-7zbMath1067.53022OpenAlexW1604337225WikidataQ125740409 ScholiaQ125740409MaRDI QIDQ4825647

Boris Botvinnik, Jonathan M. Rosenberg

Publication date: 28 October 2004

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-04-07762-7

zbMATH Keywords

positive scalar curvatureGromov-Lawson-Rosenberg conjecture

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) (mathrm{O})- and (mathrm{SO})-cobordism (57R75) Bordism and cobordism theories and formal group laws in algebraic topology (55N22) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Massey products (55S30) Homology of a product, Künneth formula (55U25)

Related Items (4)

Positive scalar curvature on manifolds with fibered singularities ⋮ Homotopy invariance of the space of metrics with positive scalar curvature on manifolds with singularities ⋮ Positive scalar curvature on manifolds with odd order abelian fundamental groups ⋮ Bordism of elementary abelian groups via inessential Brown–Peterson homology

Cites Work

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• The eta invariant and the Gromov-Lawson conjecture for elementary Abelian groups of odd order
• The Gromov-Lawson-Rosenberg conjecture for groups with periodic cohomology
• The Yamabe invariant for non-simply connected manifolds.
• Positive scalar curvature and periodic fundamental groups
• The Brown-Peterson Homology of Elementary p-Groups
• Classifying Spaces for Surgery and Corbordism of Manifolds. (AM-92)
• 2-Local Cobordism Theories
• A ``stable version of the Gromov-Lawson conjecture
• Positive scalar curvature and odd order abelian fundamental groups
• Kunneth Formulas for Bordism Theories
• Cobordism Massey Products

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