Manifolds of positive Ricci curvature, quadratically asymptotically nonnegative curvature, and infinite Betti numbers

DOI10.1007/s11425-021-1905-6OpenAlexW4220981951WikidataQ125912037 ScholiaQ125912037MaRDI QIDQ2082287

Huihong Jiang, Yi-Hu Yang

Publication date: 4 October 2022

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.01616

zbMATH Keywords

Riemannian manifoldspositive Ricci curvaturequadratically asymptotically nonnegative curvature

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Local Riemannian geometry (53B20)

Cites Work

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• Lower curvature bounds, Toponogov's theorem, and bounded topology. II
• Complete manifolds with nonnegative Ricci curvature and quadratically nonnegatively curved infinity
• Examples of nonpolar limit spaces

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