Minimal surfaces and 3-manifolds of non-negative Ricci curvature

DOI10.1007/BF01442497zbMath0653.53024MaRDI QIDQ1107845

Michael T. Anderson, Lucio L. Rodriguez

Publication date: 1989

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

Full work available at URL: https://eudml.org/doc/164565

zbMATH Keywords

3-manifoldsRicci curvatureminimal surfacessplitting theoremsectional curvaturesarea minimizing surface

Mathematics Subject Classification ID

Related Items (12)

3-manifolds with nonnegative Ricci curvature ⋮ Maximum principle for hypersurfaces ⋮ Injectivity radius bound of Ricci flow with positive Ricci curvature and applications ⋮ Area-minimizing hypersurfaces in manifolds of Ricci curvature bounded below ⋮ A barrier principle at infinity for varifolds with bounded mean curvature ⋮ The dihedral rigidity conjecture for \(n\)-prisms ⋮ Manifolds with non-negative Bakry-Émery Ricci curvature and minimal boundary ⋮ Local topological rigidity of nongeometric 3-manifolds ⋮ Least area tori and 3-manifolds of nonnegative scalar curvature ⋮ Effective versions of the positive mass theorem ⋮ Area estimates and rigidity of non-compact 𝐻-surfaces in 3-manifolds ⋮ The manifolds with nonnegative Ricci curvature and collapsing volume

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