Manifolds of positive scalar curvature and conformal cobordism theory

DOI10.1007/s00208-002-0364-yzbMath1029.53040arXivmath/0008139OpenAlexW1975893397MaRDI QIDQ1865619

Boris Botvinnik, Kazuo Akutagawa

Publication date: 27 March 2003

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0008139

zbMATH Keywords

positive scalar curvaturecobordism groupsconformal classes of metrics

Mathematics Subject Classification ID

Obstruction theory in algebraic topology (55S35) Global Riemannian geometry, including pinching (53C20) (mathrm{O})- and (mathrm{SO})-cobordism (57R75) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Other types of cobordism (57R90)

Related Items (7)

Concordance and isotopy of metrics with positive scalar curvature ⋮ Decomposing 4-manifolds with positive scalar curvature ⋮ A note about isotopy and concordance of positive scalar curvature metrics on compact manifolds with boundary ⋮ Minimal hypersurfaces and bordism of positive scalar curvature metrics ⋮ Metrics of positive scalar curvature and generalised Morse functions, part I ⋮ Relative Yamabe invariant and \(c\)-concordant metrics ⋮ The Yamabe invariant

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