A note on the first Betti number of submanifolds with nonnegative Ricci curvature in codimension two

DOI10.1007/BF02567645zbMath0756.53022OpenAlexW1967825517WikidataQ126113872 ScholiaQ126113872MaRDI QIDQ1191490

Maria Helena Noronha

Publication date: 27 September 1992

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155670

zbMATH Keywords

Ricci curvatureBetti numberisometric immersioncomplete submanifold

Mathematics Subject Classification ID

Global submanifolds (53C40) Global Riemannian geometry, including pinching (53C20)

Related Items (1)

Low codimensional submanifolds of Euclidean space with nonnegative isotropic curvature

Cites Work

• On the topology of complete manifolds of non-negative Ricci curvature
• The holonomy algebra of immersed manifolds of codimension two
• The splitting theorem for manifolds of nonnegative Ricci curvature
• Codimension Two Nonorientable Submanifolds with Nonnegative Curvature
• Nonnegatively Curved Submanifolds in Codimension Two

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