A characterization of strict Jacobi-Nijenhuis manifolds through the theory of Lie algebroids

DOI10.1016/S0034-4877(02)80064-7zbMath1043.53062OpenAlexW2111366724MaRDI QIDQ1429202

Joana M. Nunes da Costa

Publication date: 18 May 2004

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(02)80064-7

zbMATH Keywords

Lie algebroidsJacobi manifoldsNijenhuis tensors

Mathematics Subject Classification ID

Lie algebras of vector fields and related (super) algebras (17B66) Poisson manifolds; Poisson groupoids and algebroids (53D17) Contact manifolds (general theory) (53D10) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45)

Cites Work

• Lie bialgebroids and Poisson groupoids
• Exact Gerstenhaber algebras and Lie bialgebroids
• The Lie bialgebroid of a Poisson-Nijenhuis manifold
• H-Chevalley-Eilenberg cohomology of a Jacobi manifold and Jacobi-Chern class
• Jacobi—Nijenhuis manifolds and compatible Jacobi structures
• Generalized Lie bialgebroids and Jacobi structures
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