Some geometric constructions on Frobenius Weil bundles

DOI10.1016/j.difgeo.2014.04.003zbMath1319.58004OpenAlexW1985198464WikidataQ115356279 ScholiaQ115356279MaRDI QIDQ2350991

Miroslav Kureš, Miroslav Doupovec

Publication date: 26 June 2015

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2014.04.003

zbMATH Keywords

Poisson structurepseudo-Riemannian metricsymplectic structureWeil bundleFrobenius algebraexchange isomorphism

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Almost contact and almost symplectic manifolds (53D15) Natural bundles (58A32)

Related Items

Prolongations of G-structures related to Weil bundles and some applications

Cites Work

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• Lifts of Poisson structures to Weil bundle
• Prolongations of Dirac structures related to Weil bundles
• Natural transformations of the composition of Weil and cotangent functors
• Lifts of some tensor fields and connections to product preserving functors
• Dirac Manifolds
• Looking at osculating bundles through the semiholonomic equalizations
• Weil bundles as generalized jet spaces