Prolongations of Dirac structures related to Weil bundles

DOI10.1134/S1995080214020115zbMath1320.53105OpenAlexW2074363824MaRDI QIDQ2263088

Achille Ntyam, P. M. Kouotchop Wamba

Publication date: 17 March 2015

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080214020115

zbMATH Keywords

Lie algebroidWeil bundleDirac structurelifts of tensor fieldsFrobenius-Weil algebra

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Related Items

Prolongations of G-structures related to Weil bundles and some applications ⋮ Some geometric constructions on Frobenius Weil bundles

Cites Work

• Lifts of Poisson structures to Weil bundle
• Lectures on the geometry of Poisson manifolds
• Natural transformations of the composition of Weil and cotangent functors
• Tangent Dirac structures
• Tangent lifts of Poisson and related structures
• Tangent Lie algebroids
• Some properties of tangent Dirac structures of higher order
• Liftings of Some Types of Tensor Fields and Connections to Tangent Bundles of p^r-Velocities