A quasifibration of spaces of positive scalar curvature metrics

DOI10.1090/S0002-9939-06-08539-XzbMath1092.58005arXivmath/0405436MaRDI QIDQ5469244

Vladislav Chernysh

Publication date: 17 May 2006

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

Full work available at URL: https://arxiv.org/abs/math/0405436

zbMATH Keywords

quasifibrationshomotopy propertiesspaces of metrics

Mathematics Subject Classification ID

Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Generalizations of fiber spaces and bundles in algebraic topology (55R65) Manifolds of metrics (especially Riemannian) (58D17)

Related Items (6)

The positive scalar curvature cobordism category ⋮ Infinite loop spaces and positive scalar curvature ⋮ Infinite loop spaces and positive scalar curvature in the presence of a fundamental group ⋮ The space of positive scalar curvature metrics on a manifold with boundary ⋮ Homotopy invariance of the space of metrics with positive scalar curvature on manifolds with singularities ⋮ The Gromov-Lawson-Chernysh surgery theorem

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