Contact manifolds and generalized complex structures

Abstract

We give simple characterizations of contact 1-forms in terms of Dirac structures. We also relate normal almost contact structures to the theory of Dirac structures.

12 pages, typos corrected

References in corpus (3)

• The graded Jacobi algebras and (co)homology
• Conformal Dirac Structures
• Lie algebroid foliations and ${\mathcal{E}}^1(M)$-Dirac structures

Cited by in corpus (26)

• A survey on cosymplectic geometry
• Graded contact manifolds and contact Courant algebroids
• AV-Courant algebroids and generalized CR structures
• T-duality, Gerbes and Loop Spaces
• Generalized Contact Bundles
• Integration of Dirac-Jacobi structures
• Differential graded contact geometry and Jacobi structures
• Variations on Prequantization
• Holomorphic Jacobi Manifolds and Holomorphic Contact Groupoids
• Twistor spaces of generalized complex structures
• Generalized Contact Geometry and T-Duality
• The Local Structure of Generalized Contact Bundles
• Jacobi Structures in ${\mathbb{R}}^3$
• Reduction and submanifolds of generalized complex manifolds
• Jacobi quasi-Nijenhuis Algebroids
• Generalised contact geometry as reduced generalised complex geometry
• Higher omni-Lie algebroids
• Gauge transformations of Jacobi structures and contact groupoids
• On hypersurfaces of generalized Kähler manifolds
• Dirac and Generalized Complex Structures on Cartan Geometries
• Variational Theory of Balance Systems
• From generalized Kaehler to generalized Sasakian structures
• Generalized CRF-structures
• Commuting Pairs of Generalized Contact Metric Structures
• Regular Jacobi Structures and Generalized Contact Bundles
• The Deformation $L_{\infty }$ algebra of a Dirac--Jacobi structure