Some complete manifolds with non-negative curvature operator

DOI10.1007/BF01161763zbMath0602.53033OpenAlexW1990313116MaRDI QIDQ1081846

Yuriko Y. Baldin, Maria Helena Noronha

Publication date: 1987

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

Full work available at URL: https://eudml.org/doc/183699

zbMATH Keywords

curvature operatorflat normal bundlesectional curvaturessoulcomplete non-compact manifold

Mathematics Subject Classification ID

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

Related Items

Manifolds with pure non-negative curvature operator ⋮ Nonnegatively Curved Submanifolds in Codimension Two ⋮ Codimension Two Complete Noncompact Submanifolds with Nonnegative Curvature ⋮ Open manifolds of nonnegative curvature

Cites Work

• Isometric immersions in codimension two with non negative curvature
• A generalized Allendoerfer-Weil formula and an inequality of the Cohn-Vossen type
• Reduction of the codimension of an isometric immersion
• On the structure of complete manifolds of nonnegative curvature
• Manifolds with pure non-negative curvature operator