Nonnegative Ricci curvature, splitting at infinity, and first Betti number rigidity

DOI10.1016/j.aim.2024.110028MaRDI QIDQ6651545

Jiayin Pan, Unnamed Author

Publication date: 10 December 2024

Published in: Advances in Mathematics (Search for Journal in Brave)

zbMATH Keywords

first Betti numbernonnegative Ricci curvaturelinear growth harmonic functions

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Rigidity results (53C24) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)

Cites Work

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• Vector fields and Ricci curvature
• Singular Weyl’s law with Ricci curvature bounded below
• Maximal first Betti number rigidity for open manifolds of nonnegative Ricci curvature

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