A certain derivative in fibred Riemannian spaces, and its applications to vector fields

DOI10.2996/kmj/1138833648zbMath0402.53025OpenAlexW2081975485WikidataQ115224534 ScholiaQ115224534MaRDI QIDQ4186953

Ichiro Yokote

Publication date: 1978

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

Full work available at URL: https://doi.org/10.2996/kmj/1138833648

zbMATH Keywords

Killing VectorsStructure EquationsLie DerivativeFibred Riemannian Spaces

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global Riemannian geometry, including pinching (53C20)

Related Items (2)

Affine Killing vectors in the tangent bundles ⋮ Connections on differentiable fiber bundles

Cites Work

• The fundamental equations of a submersion
• Foliated manifolds with bundle-like metrics
• Fibred spaces with invariant Riemannian metric
• On some properties of curvatures of foliated Riemannian structures
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