A locally conformal symplectic (l.c.s.) manifold is a pair (M2n,fl) where M2n(n > i) is a connected differentiable manifold, and a nondegenerate 2-form on M such that M k9 Us (Usopen subsets) /U e ,â€¦ (More)

The paper starts with an interpretation of the complete lift of a Poisson structure from a manifold M to its tangent bundle T M by means of the Schouten-Nijenhuis bracket of covariant symmetricâ€¦ (More)

We extend the notion of " coupling with a foliation " from Poisson to Dirac structures and get the corresponding generalization of the Vorobiev characterization of coupling Poisson structures [15,â€¦ (More)

Let M be a differentiable manifold. A vector field Î“ of TM which corresponds to a system of second order ordinary differential equations on M is called a second order Hamiltonian vector field if itâ€¦ (More)

The notion of a Dirac submanifold of a Poisson manifold studied by Xu is interpreted in terms of a general notion of tensor fields soldered to a normalized submanifold. This interpretation is used toâ€¦ (More)

We express any Courant algebroid bracket by means of a metric connection, and construct a Courant algebroid structure on any orthogonal, Whitney sum EâŠ•C where E is a given Courant algebroid and C isâ€¦ (More)

We define integrable, big-isotropic structures on a manifold M as subbundles E âŠ† T M âŠ• T * M that are isotropic with respect to the natural, neutral metric g of T M âŠ• T * M , closed by Courantâ€¦ (More)

We extend the Nambu bracket to 1-forms. Following the Poisson-Lie case, we define Nambu-Lie groups as Lie groups endowed with a multiplica-tive Nambu structure. A Lie group G with a Nambu structure Pâ€¦ (More)

We recall the presentation of the generalized, complex structures by classical tensor fields, while noticing that one has a similar presentation and the same integrability conditions for generalized,â€¦ (More)