129 research outputs found
Contact manifolds and generalized complex structures
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.Comment: 12 pages, typos correcte
AV-Courant algebroids and generalized CR structures
We construct a generalization of Courant algebroids which are classified by
the third cohomology group , where is a Lie Algebroid, and is
an -module. We see that both Courant algebroids and
structures are examples of them. Finally we introduce generalized CR structures
on a manifold, which are a generalization of generalized complex structures,
and show that every CR structure and contact structure is an example of a
generalized CR structure.Comment: 18 page
Cosymplectic groupoids
A cosymplectic groupoid is a Lie groupoid with a multiplicative cosymplectic
structure. We provide several structural results for cosymplectic groupoids and
we discuss the relationship between cosymplectic groupoids, Poisson groupoids
of corank 1, and oversymplectic groupoids of corank 1.Comment: 26 pages; Comments welcomed
- …