Vertical and horizontal lifts of multivector fields and applications

DOI10.1134/S1995080217010140zbMath1369.53060OpenAlexW2588202418MaRDI QIDQ2628624

R. P. Nimpa, P. M. K. Wamba, A. Mba

Publication date: 2 June 2017

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

Full work available at URL: https://doi.org/10.1134/s1995080217010140

zbMATH Keywords

natural transformationsNijenhuis manifoldvertical and complete lifts of vector fields and 1-forms

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 (3)

On some deformations of the Poisson structure associated with the algebroid bracket of differential forms ⋮ Tangent Generalized Metallic Structures of Higher Order ⋮ Generalization of the concept of classical \(r\)-matrix to Lie algebroids

Cites Work

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• Lie bialgebroids and Poisson groupoids
• Poisson structures on tangent bundles.
• The Lie bialgebroid of a Poisson-Nijenhuis manifold
• Tangent Dirac structures
• Tangent lifts of Poisson and related structures
• Tangent Lie algebroids
• Liftings of Some Types of Tensor Fields and Connections to Tangent Bundles of p^r-Velocities

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