On a theorem of Ambrose

DOI10.1017/S1446788700015780zbMath1112.53027MaRDI QIDQ3412781

David J. Wraith

Publication date: 2 January 2007

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

zbMATH Keywords

Ricci curvaturecomplete manifold

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Related Items (8)

Some Ambrose- and Galloway-type theorems via Bakry-Émery and modified Ricci curvatures ⋮ A theorem of Ambrose for Bakry-Emery Ricci tensor ⋮ Compactness in weighted manifolds and applications ⋮ Integral curvature bounds and bounded diameter with Bakry-Emery Ricci tensor ⋮ Some compactness theorems via \(m\)-Bakry-Émery and \(m\)-modified Ricci curvatures with negative \(m\) ⋮ Myers' type theorem for integral Bakry-Émery Ricci tensor bounds ⋮ \(m\)-Bakry-Émery Ricci curvatures, Riccati inequalities, and bounded diameters ⋮ Some compactness results by elliptic operators

Cites Work

• Unnamed Item
• A theorem of Myers
• Metrics of negative Ricci curvature
• Riemannian manifolds with positive mean curvature
• RICCI CURVATURE DECAY ON OPEN MANIFOLDS
• Simply connected manifolds of positive scalar curvature
• Integral curvature bounds and bounded diameter

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