Poisson quasi-Nijenhuis manifolds

DOI10.1007/s00220-006-0168-0zbMath1119.53056arXivmath/0602288OpenAlexW3104560648MaRDI QIDQ883056

Mathieu Stiénon, Ping Xu

Publication date: 31 May 2007

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0602288

zbMATH Keywords

generalized complex structuresymplectic groupoidPoisson bivector field

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Topological groupoids (including differentiable and Lie groupoids) (22A22)

Related Items

Pseudo-Poisson Nijenhuis manifolds ⋮ Dirac structures and Nijenhuis operators ⋮ Local formulas for multiplicative forms ⋮ Jacobi quasi-Nijenhuis algebroids ⋮ Hom-Poisson-Nijenhuis structures and Hom-Dirac structures ⋮ Poisson-Nijenhuis groupoids ⋮ Courant-Nijenhuis algebroids ⋮ Nijenhuis operators and associative D-bialgebras ⋮ Generalized contact bundles ⋮ Integrating Nijenhuis structures ⋮ Generalized complex structures and Lie brackets ⋮ Nijenhuis structures on Courant algebroids ⋮ Holomorphic Jacobi manifolds ⋮ Poisson quasi-Nijenhuis deformations of the canonical PN structure ⋮ Deformations of Lie 2-algebras ⋮ Infinitesimal Automorphisms of VB-Groupoids and Algebroids ⋮ Nijenhuis forms on Lie-infinity algebras associated to Lie algebroids ⋮ Reduction of generalized complex structures ⋮ Compatible structures on Lie algebroids and Monge-Ampère operators ⋮ Poisson quasi-Nijenhuis manifolds and the Toda system ⋮ REDUCTION AND CONSTRUCTION OF POISSON QUASI-NIJENHUIS MANIFOLDS WITH BACKGROUND ⋮ On Jacobi quasi-Nijenhuis algebroids and Courant-Jacobi algebroid morphisms ⋮ Integration of holomorphic Lie algebroids ⋮ Holomorphic Jacobi manifolds and holomorphic contact groupoids ⋮ Some remarks on invariant Poisson quasi-Nijenhuis structures on Lie groups ⋮ Poisson quasi-Nijenhuis structures with background ⋮ Lie theory of multiplicative tensors

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