Examples with bounded diameter growth and infinite topological type

DOI10.1215/S0012-7094-00-10232-3zbMath1163.53323WikidataQ126089206 ScholiaQ126089206MaRDI QIDQ1567170

X. Menguy

Publication date: 5 June 2000

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items

Diameter growth and bounded topology of complete manifolds with nonnegative Ricci curvature, Describing the universal cover of a compact limit, Noncompact manifolds with nonnegative Ricci curvature, Manifolds of nonnegative Ricci curvature and infinite topological type, The cut-off covering spectrum, Localization and tensorization properties of the curvature-dimension condition for metric measure spaces, Universal covers for Hausdorff limits of noncompact spaces, Manifolds of positive Ricci curvature, quadratically asymptotically nonnegative curvature, and infinite Betti numbers

Cites Work

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• Short geodesics and gravitational instantons
• Examples of manifolds of positive Ricci curvature
• Spaces with Ricci curvature bounds
• Ricci curvature and volume convergence
• Noncollapsing examples with positive Ricci curvature and infinite topological type
• Lower bounds on Ricci curvature and the almost rigidity of warped products
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• On Complete Manifolds With Nonnegative Ricci Curvature
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