The natural transformations between \(r\)-th order prolongation of tangent and cotangent bundles over Riemannian manifolds

DOI10.1515/UMCSMATH-2015-0015zbMath1321.58002OpenAlexW4231359855WikidataQ115235728 ScholiaQ115235728MaRDI QIDQ2517163

Mariusz Plaszczyk

Publication date: 17 August 2015

Published in: Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/umcsmath-2015-0015

zbMATH Keywords

Riemannian manifoldnatural operatornatural tensorhigher order prolongation of a vector bundle

Mathematics Subject Classification ID

Jets in global analysis (58A20) Differentiable manifolds, foundations (58A05) Natural bundles (58A32)

Cites Work

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• Natural tensors on Riemannian manifolds
• The natural transformations between \(r\)-tangent and \(r\)-cotangent bundles over Riemannian manifolds
• The natural operators lifting connections to higher order cotangent bundles

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