A finiteness theorem for Ricci curvature in dimension three

DOI10.1090/S0273-0979-1990-15950-6zbMath0725.53043WikidataQ124850674 ScholiaQ124850674MaRDI QIDQ5201873

Shun-Hui Zhu

Publication date: 1990

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

zbMATH Keywords

Ricci curvaturehomotopy types

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Cites Work

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• Short geodesics and gravitational instantons
• A finiteness theorem for metric spaces
• Examples of manifolds of positive Ricci curvature
• Bounding homotopy types by geometry
• On the homotopy type of positively-pinched manifolds
• The splitting theorem for manifolds of nonnegative Ricci curvature
• Cheeger's finiteness theorem for diffeomorphism classes of Riemannian manifolds.
• Finiteness and vanishing theorems for complete open Riemannian manifolds
• On Complete Manifolds With Nonnegative Ricci Curvature
• Homotopy Type Finiteness Theorems for Certain Precompact Families of Riemannian Manifolds
• Controlled topology in geometry
• Finiteness Theorems for Riemannian Manifolds

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