g‐natural symmetries on tangent bundles
Copyright policy )g‐natural symmetries on tangent bundles
AbstractThe study of symmetries is a well known research topic in differential geometry with relevant physical interpretations. Given a Riemannian manifold , we consider pseudo‐Riemannian g‐natural metrics G on its tangent bundle and characterize conformal, homothetic and Killing vector fields of obtained from natural lifts of vector fields of M.
- University of Salento Italy
- SIDI Italy
- Mohammed V University Morocco
Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics, Killing vector fields, Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills), Conformal vector fields, -natural metrics, Killing vector fields, tangent bundle, \(g\)-natural metrics, homothetic vector fields, conformal vector fields
Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics, Killing vector fields, Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills), Conformal vector fields, -natural metrics, Killing vector fields, tangent bundle, \(g\)-natural metrics, homothetic vector fields, conformal vector fields
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