Generalized connections, spinors, and integrability of generalized structures on Courant algebroids

zbMath1491.53086arXiv1905.01977MaRDI QIDQ5155011

Liana David, Vicente Cortés

Publication date: 5 October 2021

Full work available at URL: https://arxiv.org/abs/1905.01977

zbMATH Keywords

Courant algebroidsgeneralized complex structuresgeneralized Kähler structuresgeneralized hyper-Kähler structuresgeneralized hypercomplex structuresgenerating Dirac operators

Mathematics Subject Classification ID

General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Generalized geometries (à la Hitchin) (53D18)

Related Items (3)

Classification of generalized Einstein metrics on three-dimensional Lie groups ⋮ \(B_n\)-generalized pseudo-Kähler structures ⋮ Invariant generalized almost complex structures on real flag manifolds

Cites Work

• On regular Courant algebroids
• Generalized Kähler geometry
• Generalized complex geometry
• Affine connections in a quaternion manifold and transformations preserving the structure
• Reduction of Courant algebroids and generalized complex structures
• Remarks on the definition of a Courant algebroid
• Weyl quantization of degree 2 symplectic graded manifolds
• A unique connection for Born geometry
• Supergravity as generalised geometry I: type II theories
• Infinitesimal moduli for the Strominger system and Killing spinors in generalized geometry
• Ricci flow, Killing spinors, and T-duality in generalized geometry
• Branes on Poisson varieties
• Generalized complex geometry and T-duality
• Transitive Courant algebroids, string structures and T-duality
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