Local structure of Jacobi--Nijenhuis manifolds

DOI10.1016/S0393-0440(01)00074-2zbMath1030.53076OpenAlexW2133471587MaRDI QIDQ1867209

Fani Petalidou, Joana M. Nunes da Costa

Publication date: 2 April 2003

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0393-0440(01)00074-2

zbMATH Keywords

Jacobi manifoldJacobi-Nijenhuis manifoldHomogeneous Possion manifold

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Poisson manifolds; Poisson groupoids and algebroids (53D17) Contact manifolds (general theory) (53D10)

Related Items (2)

On Jacobi quasi-Nijenhuis algebroids and Courant-Jacobi algebroid morphisms ⋮ Reduction of Jacobi-Nijenhuis manifolds

Cites Work

• Géométrie des algèbres de Lie locales de Kirillov
• Structure locale des variétés de Jacobi. (Local structure of Jacobi manifolds)
• Les variétés de Poisson et leurs algèbres de Lie associees
• Les variétés de Jacobi et leurs algèbres de Lie associees
• Lectures on the geometry of Poisson manifolds
• Simultaneous local classification of two compatible symplectic forms
• On the simplectization of bi-Hamiltonian structures
• Reduction of Poisson-Nijenhuis manifolds
• The Lie bialgebroid of a Poisson-Nijenhuis manifold
• LOCAL LIE ALGEBRAS
• A simple model of the integrable Hamiltonian equation
• Compatible Jacobi manifolds: geometry and reduction
• Jacobi—Nijenhuis manifolds and compatible Jacobi structures
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