Almost complex structures on cotangent bundles and generalized geometry

DOI10.1016/J.GEOMPHYS.2010.06.004zbMath1200.53031OpenAlexW1994594961MaRDI QIDQ1957181

Antonella Nannicini

Publication date: 24 September 2010

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

Full work available at URL: https://doi.org/10.1016/j.geomphys.2010.06.004

zbMATH Keywords

generalized geometrycalibrated complex structuressymplectic vector bundles

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (9)

On cotangent manifolds, complex structures and generalized geometry ⋮ Special Kähler manifolds and generalized geometry ⋮ On the integrability of generalized almost para-Norden and para-Hermitian structures ⋮ Induced polynomial structures on generalized geometry ⋮ Generalized geometry of Norden manifolds ⋮ Generalized metallic structures ⋮ Generalized quasi-statistical structures ⋮ Norden structures on cotangent bundles ⋮ \(\alpha\)-connections in generalized geometry

Cites Work

• Generalized complex geometry
• Calibrated complex structures on the generalized tangent bundle of a Riemannian manifold
• The Tangent Bundle of an Almost Complex Manifold
• Generalized Calabi-Yau Manifolds
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