Metric of non-negative sectional curvature on the tangent bundle of the two-dimensional sphere

DOI10.1007/BF00969392zbMath0605.53021MaRDI QIDQ1083699

Valery Borisovich Marenich

Publication date: 1986

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/62681

zbMATH Keywords

Riemannian submersiontangent bundlenon-negative sectional curvature

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Related Items (2)

On non-negatively curved metrics on open five-dimensional manifolds ⋮ Open manifolds of nonnegative curvature

Cites Work

• Unnamed Item
• Geodesic spheres as generators of the homotopy groups of O,BO
• Positive Ricci curvature on fibre bundles
• Scalar curvature, non-abelian group actions, and the degree of symmetry of exotic spheres
• Some examples of manifolds of nonnegative curvature
• Einstein metrics on principal fibre bundles
• The fundamental equations of a submersion
• On the structure of complete manifolds of nonnegative curvature

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