\(B_n\)-generalized pseudo-Kähler structures

DOI10.1007/s12220-023-01311-zzbMath1526.53080arXiv2206.10456MaRDI QIDQ6113287

Vicente Cortés, Liana David

Publication date: 10 July 2023

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.10456

zbMATH Keywords

generalized Kähler structuresodd exact Courant algebroids

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Poisson manifolds; Poisson groupoids and algebroids (53D17) Generalized geometries (à la Hitchin) (53D18)

Cites Work

• On regular Courant algebroids
• \(B_n\)-generalized geometry and \(G_2^2\)-structures
• Generalized complex geometry
• Curvatures of left invariant metrics on Lie groups
• Manin triples for Lie bialgebroids
• Generalised contact geometry as reduced generalised complex geometry
• Generalized almost contact structures and generalized Sasakian structures
• Ricci flow, Killing spinors, and T-duality in generalized geometry
• Generalized connections, spinors, and integrability of generalized structures on Courant algebroids
• Generalized contact structures
• The first Pontryagin class
• Transitive Courant algebroids, string structures and T-duality
• Classification of generalized Einstein metrics on three-dimensional Lie groups

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