A note on nonnegative Bakry-Émery Ricci curvature

DOI10.1007/s00013-009-0062-zzbMath1179.53046OpenAlexW2043061850MaRDI QIDQ1042433

Ning Yang

Publication date: 14 December 2009

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-009-0062-z

zbMATH Keywords

polynomial growthfundamental groupBakry-Émery Ricci curvature

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Fundamental group, presentations, free differential calculus (57M05)

Related Items (7)

Complete bounded \(\lambda\)-hypersurfaces in the weighted volume-preserving mean curvature flow ⋮ Unnamed Item ⋮ Heat kernel estimate for the Laplace-Beltrami operator under Bakry-Émery Ricci curvature condition and applications ⋮ Complete self-shrinkers confined into some regions of the space ⋮ Eigenfunctions of the weighted Laplacian and a vanishing theorem on gradient steady Ricci soliton ⋮ Liouville theorems, volume growth, and volume comparison for Ricci shrinkers ⋮ Bach flow

Cites Work

• Unnamed Item
• Unnamed Item
• Comparison geometry for the Bakry-Emery Ricci tensor
• A remark on complete non-expanding Ricci solitons
• Some geometric properties of the Bakry-Émery-Ricci tensor
• A remark on compact Ricci solitons
• A note on curvature and fundamental group
• On the finiteness of the fundamental group of a compact shrinking Ricci soliton
• On Extensions of Myers' Theorem
• Complete shrinking Ricci solitons have finite fundamental group

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