Generalized complex structure on certain principal torus bundles

DOI10.1007/s10455-024-09982-9MaRDI QIDQ6658727

Debjit Pal, Mainak Poddar

Publication date: 8 January 2025

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

zbMATH Keywords

principal bundlesgeneralized complex structuregeneralized Darboux theoremgeneralized Dolbeault cohomology

Mathematics Subject Classification ID

Foliations in differential topology; geometric theory (57R30) Topology of vector bundles and fiber bundles (57R22) Generalized geometries (à la Hitchin) (53D18)

Cites Work

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• Cohomologies of generalized complex manifolds and nilmanifolds
• Generalized complex geometry
• The decomposition of forms and cohomology of generalized complex manifolds
• Instantons, Poisson structures and generalized Kähler geometry
• Group actions, non-Kähler complex manifolds and SKT structures
• Generalized complex structures on nilmanifolds

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