Affine Killing vectors in the tangent bundles

DOI10.2996/kmj/1138036424zbMath0494.53037OpenAlexW1998210265MaRDI QIDQ1169170

Ichiro Yokote

Publication date: 1981

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

Full work available at URL: https://doi.org/10.2996/kmj/1138036424

zbMATH Keywords

horizontal liftcomplete liftvertical liftaffine Killing vector field(*)-Lie derivatives

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Related Items (1)

Groups of transformations of Riemannian manifolds

Cites Work

• On the differential geometry of tangent bundles of Riemannian manifolds
• Prolongations of tensor fields and connections to tangent bundles. I: General theory
• Prolongations of tensor fields and connections to tangent bundles. II: Infinitesimal automorphisms
• On harmonic and Killing vector fields
• A certain derivative in fibred Riemannian spaces, and its applications to vector fields
• On some properties of curvatures of foliated Riemannian structures
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