Magnetic curves on cotangent bundles endowed with the Riemann extension

DOI10.4064/cm7924-12-2020zbMath1495.53058OpenAlexW3200062407WikidataQ114022012 ScholiaQ114022012MaRDI QIDQ5066079

Simona-Luiza Druţă-Romaniuc, Cornelia-Livia Bejan

Publication date: 29 March 2022

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/cm7924-12-2020

zbMATH Keywords

Lorentz forcegeodesicmagnetic curvepara-Sasakian manifold

Mathematics Subject Classification ID

Applications of global differential geometry to the sciences (53C80) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Geodesics in global differential geometry (53C22) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Cites Work

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• Almost para-Hermitian and almost paracontact metric structures induced by natural Riemann extensions
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• Vertical and complete lifts from a manifold to its cotangent bundle
• On natural Riemann extensions
• Almost paracontact and parahodge structures on manifolds
• On a class of submanifolds in a tangent bundle with a $g$-natural metric
• Magnetic curves in Sasakian manifolds
• RIEMANN EXTENSIONS