Spaces of nonnegatively curved surfaces

DOI10.2969/jmsj/07027344zbMath1396.53059arXiv1510.07269OpenAlexW2964221354WikidataQ129968865 ScholiaQ129968865MaRDI QIDQ1651447

Igor Belegradek, Taras Banakh

Publication date: 12 July 2018

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

Full work available at URL: https://arxiv.org/abs/1510.07269

zbMATH Keywords

absorbingnonnegative curvatureinfinite-dimensional topologyspace of metrics

Mathematics Subject Classification ID

Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Topology of infinite-dimensional manifolds (57N20) Manifolds of metrics (especially Riemannian) (58D17)

Related Items (4)

Hyperspaces of smooth convex bodies up to congruence ⋮ Non-negative versus positive scalar curvature ⋮ On the topology of moduli spaces of non-negatively curved Riemannian metrics ⋮ Index theory and deformations of open nonnegatively curved manifolds

Cites Work

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• Sard's theorem for mappings in Hölder and Sobolev spaces
• Erratum to: ``Connectedness properties of the space of complete nonnegatively curved planes
• Characterizing the Topology of Infinite-Dimensional σ-Compact Manifolds
• Interplay between strongly universal spaces and pairs
• Applications of some results of infinite-dimensional topology to the topological classification of operator images
• Diffeomorphisms of the 2-Sphere
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