On cotangent manifolds, complex structures and generalized geometry

DOI10.5802/aif.3003zbMath1356.53034arXiv1304.3684OpenAlexW2964183361MaRDI QIDQ332156

Liana David

Publication date: 27 October 2016

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.3684

zbMATH Keywords

integrabilityLie groupsgeneralized complex structuresholomorphic bundlesspecial complex geometry

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Generalized geometries (à la Hitchin) (53D18)

Cites Work

• Generalized complex geometry
• The sixteen classes of almost Hermitian manifolds and their linear invariants
• Lie groups and Lie algebras III. Structure of Lie groups and Lie algebras. Transl. from the Russian by V. Minachin
• Special complex manifolds
• Almost complex structures on cotangent bundles and generalized geometry
• Invariant generalized complex structures on Lie groups
• Generalized Calabi-Yau Manifolds
• Lie groups beyond an introduction
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