Some properties of Dirac-Nijenhuis manifolds

DOI10.1016/S0034-4877(06)80046-7zbMath1136.53057MaRDI QIDQ2467646

Baokang Liu, Long Guang He

Publication date: 28 January 2008

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

zbMATH Keywords

Nijenhuis tensorDirac structurefundamental vector field

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45)

Related Items

Dirac structures and Nijenhuis operators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Dirac-Nijenhuis structures on Lie bialgebroids
• Reduction of Poisson manifolds
• Structure locale des variétés de Jacobi. (Local structure of Jacobi manifolds)
• Reduction of symplectic manifolds with symmetry
• Lie bialgebroids and Poisson groupoids
• Manin triples for Lie bialgebroids
• Dirac-Nijenhuis manifolds
• Reduction of Jacobi manifolds via Dirac structures theory
• Dirac–Nijenhuis structures
• Dirac Manifolds
• Courant algebroid and Lie bialgebroid contractions