Geometry and topology of some fibered Riemannian manifolds

DOI10.3103/S1066369X18020081zbMath1393.53030OpenAlexW2789535193WikidataQ115223255 ScholiaQ115223255MaRDI QIDQ1646425

T. A. Gonchar, Evgeniy Ivanovich Yakovlev

Publication date: 25 June 2018

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x18020081

zbMATH Keywords

Riemannian manifoldsectional curvatureprincipal bundleLevi-Civita connection\(G\)-connection

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Related Items (4)

Existence theorem for coverings of Serre bundles ⋮ Causal properties of fibered space-time ⋮ Coverings in the category of principal bundles ⋮ Invariants of coverings of Serre fibrations

Cites Work

• A two-point problem for a certain class of multivalued functionals
• Riemannsche Geometrie im Großen. 2. Aufl
• Curvatures of left invariant metrics on Lie groups
• Proof of the soul conjecture of Cheeger and Gromoll
• Sectional curvatures of manifolds of the Kaluza-Klein type
• Ricci curvature of manifolds of the Kaluza-Klein type
• Bundles and geometric structures associated with gyroscopic systems
• The fundamental equations of a submersion
• On the structure of complete manifolds of nonnegative curvature
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