Ricci curvature and the topology of open manifolds

DOI10.1007/s002080050018zbMath0958.53025OpenAlexW4249335751MaRDI QIDQ1971683

Chang-Yu Xia, Manfredo Perdigão do Carmo

Publication date: 2 April 2001

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002080050018

zbMATH Keywords

comparison theoremRicci curvaturesectional curvaturegeodesic balllarge volume growth

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Related Items (13)

Diameter growth and bounded topology of complete manifolds with nonnegative Ricci curvature ⋮ A topological rigidity theorem on open manifolds with nonnegative Ricci curvature ⋮ On the fundamental group of some open manifolds ⋮ Ricci curvature, radial curvature and large volume growth ⋮ Closed geodesics and volume growth of open manifolds with sectional curvature bounded from below ⋮ Functional inequalities and manifolds with nonnegative weighted Ricci curvature ⋮ Alexandrov spaces with large volume growth ⋮ Sufficient conditions for open manifolds to be diffeomorphic to Euclidean spaces ⋮ The Gagliardo-Nirenberg inequalities and manifolds of non-negative Ricci curvature ⋮ Unnamed Item ⋮ On manifolds with quadratic curvature decay ⋮ The manifolds with nonnegative Ricci curvature and collapsing volume ⋮ The Caffarelli-Kohn-Nirenberg inequalities and manifolds with nonnegative weighted Ricci curvature

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