Vertical lifts of higher order of multivector fields and applications to Poisson geometry

DOI10.1134/s1995080223070454zbMath1528.58004OpenAlexW4388000660MaRDI QIDQ6059325

G. F. Wankap Nono, P. M. Kouotchop Wamba

Publication date: 2 November 2023

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

Full work available at URL: https://doi.org/10.1134/s1995080223070454

zbMATH Keywords

Poisson-Nijenhuis structureslifts of vector fieldstangent bundles of higher ordersingular foliation and natural transformations

Mathematics Subject Classification ID

Jets in global analysis (58A20) Poisson manifolds; Poisson groupoids and algebroids (53D17) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Cites Work

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• Lie bialgebroids and Poisson groupoids
• Poisson structures on Weil bundles
• The Lie bialgebroid of a Poisson-Nijenhuis manifold
• Tangent Dirac structures
• Higher-order Lagrangian systems: Geometric structures, dynamics, and constraints
• Tangent lifts of Poisson and related structures
• Canonical Poisson–Nijenhuis structures on higher order tangent bundles
• Liftings of Some Types of Tensor Fields and Connections to Tangent Bundles of p^r-Velocities

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