Contact manifolds and generalized complex structures

DOI10.1016/j.geomphys.2004.06.006zbMath1075.53081arXivmath/0404519OpenAlexW2113195935MaRDI QIDQ556146

Aïssa Wade, David Iglesias-Ponte

Publication date: 13 June 2005

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

Full work available at URL: https://arxiv.org/abs/math/0404519

zbMATH Keywords

Courant bracketDirac structurecontact and Jacobi manifold

Mathematics Subject Classification ID

Lie algebras of vector fields and related (super) algebras (17B66) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Contact manifolds (general theory) (53D10) Lie bialgebras; Lie coalgebras (17B62) Poisson algebras (17B63)

Related Items

Generalised contact geometry as reduced generalised complex geometry, Higher omni-Lie algebroids, Differential graded contact geometry and Jacobi structures, Graded contact manifolds and contact Courant algebroids, Jacobi quasi-Nijenhuis algebroids, On hypersurfaces of generalized Kähler manifolds, Generalized contact bundles, Generalized CRF-structures, Normal forms for Dirac-Jacobi bundles and splitting theorems for Jacobi structures, Transverse geometry and generalized complex structures, Weak dual pairs in Dirac–Jacobi geometry, Generalized Sasakian structures from a Poisson geometry viewpoint, Lie groupoids and generalized contact manifolds, Gauge transformations of Jacobi structures and contact groupoids, Dirac structures and generalized complex structures on, Twistor spaces of generalized complex structures, Reduction and submanifolds of generalized complex manifolds, Holomorphic Jacobi manifolds and holomorphic contact groupoids, Linearization of the higher analogue of Courant algebroids, Local structure of generalized contact manifolds, The deformation \(L_\infty\) algebra of a Dirac-Jacobi structure, Weakly regular Jacobi structures and generalized contact bundles, Jacobi structures in R3, Generalized contact geometry and T-duality, A SURVEY ON COSYMPLECTIC GEOMETRY

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