Matched pairs of Courant algebroids

DOI10.1016/j.indag.2014.07.016zbMath1304.53079arXiv1204.1311OpenAlexW2086153371MaRDI QIDQ743981

Mathieu Stiénon, Melchior Grützmann

Publication date: 2 October 2014

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.1311

zbMATH Keywords

Courant algebroidLie algebroidmatched pairDirac structurematched sum

Mathematics Subject Classification ID

Poisson manifolds; Poisson groupoids and algebroids (53D17) Complex manifolds (32Q99)

Related Items

Generalized Kähler geometry ⋮ Canonical metrics on holomorphic Courant algebroids ⋮ Courant-Nijenhuis algebroids ⋮ Dirac actions and Lu's Lie algebroid ⋮ Courant-Dorfman algebras of differential operators and Dorfman connections of Courant algebroids ⋮ Holomorphic string algebroids ⋮ The standard cohomology of regular Courant algebroids

Cites Work

• Unnamed Item
• On regular Courant algebroids
• Generalized Kähler geometry
• Foliated Lie and Courant algebroids
• Poisson homogeneous spaces and Lie algebroids associated to Poisson actions
• On the geometric structure of Hamiltonian systems with ports
• Poisson Lie groups, dressing transformations, and Bruhat decompositions
• Matched pairs of Lie groups associated to solutions of the Yang-Baxter equations
• Double Lie algebroids and second-order geometry. I
• Manin triples for Lie bialgebroids
• Remarks on the definition of a Courant algebroid
• Complex geometry. An introduction
• Holomorphic Poisson Manifolds and Holomorphic Lie Algebroids
• A construction of Courant algebroids on foliated manifolds
• Matched pairs of Lie algebroids
• Dirac Manifolds

This page was built for publication: Matched pairs of Courant algebroids