Courant-Nijenhuis algebroids

DOI10.1016/j.geomphys.2023.104923arXiv2305.03131MaRDI QIDQ6137701

Henrique Bursztyn, Thiago Drummond, Clarice Netto

Publication date: 4 September 2023

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

Full work available at URL: https://arxiv.org/abs/2305.03131

zbMATH Keywords

Courant algebroidsNijenhuis operatorsDirac-Nijenhuis structuresLie-Nijenhuis bialgebroids

Mathematics Subject Classification ID

Differential geometry (53-XX)

Cites Work

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• Generalized Kähler geometry
• Nijenhuis structures on Courant algebroids
• Generalized complex geometry
• Matched pairs of Courant algebroids
• Courant morphisms and moment maps
• Poisson quasi-Nijenhuis manifolds
• Tangent of a Courant algebroid
• Manin triples for Lie bialgebroids
• Lie algebroids and Poisson-Nijenhuis structures
• Quasi-Lie bialgebroids and twisted Poisson manifolds
• Nijenhuis and compatible tensors on Lie and Courant algebroids
• Hierarchies and compatibility on Courant algebroids
• Dirac structures and Nijenhuis operators
• Lie theory of multiplicative tensors
• Holomorphic Poisson Manifolds and Holomorphic Lie Algebroids
• Courant Algebroids and Poisson Geometry
• Flat Partial Connections and Holomorphic Structures in C ∞ Vector Bundles
• Dirac Manifolds
• Courant algebroid and Lie bialgebroid contractions
• Lie–Nijenhuis Bialgebroids

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