The notion of a generalized Lie bialgebroid (a generalization of the notion of a Lie
bialgebroid) is introduced in such a way that a Jacobi manifold has associated a canonical …

Jacobi algebroids, ie graded Lie brackets on the Grassmann algebra associated with a
vector bundle which satisfy a property similar to that of the Jacobi brackets, are introduced …

Jacobi algebroids (ie'Jacobi versions' of Lie algebroids) are studied in the context of graded
Jacobi brackets on graded commutative algebras. This unifies various concepts of graded …

As a continuation of previous papers, we study the concept of a Lie algebroid structure on an
affine bundle by means of the canonical immersion of the affine bundle into its bidual. We …

We study the dynamics of contact mechanical systems on Lie groups that are invariant under
a Lie group action. Analogously to standard mechanical systems on Lie groups, existing …

In this paper, using the Atiyah algebroid and first order multi-differential calculus on non-
trivial line bundles, we attach an L_infinity-algebra to any coisotropic submanifold S in an …

In this thesis, we study the deformation problem of coisotropic submanifolds in Jacobi
manifolds. In particular we attach two algebraic invariants to any coisotropic submanifold $ S …

We define the Jacobi 1-form and the Jacobi 2-form of a Jacobi algebra. We construct the
Jacobi differential complex and describe Jacobi cohomology. We show that a Jacobi …

We study the dynamics of contact mechanical systems on Lie groups that are invariant under
a Lie group action. Analogously to standard mechanical systems on Lie groups, existing …

We extend the Jacobi structure from $ TQ\times\mathbb {R} $ and $ T^{*} Q\times\mathbb {R}
$ to $ A\times\mathbb {R} $ and $ A^{*}\times\mathbb {R} $, respectively, where $ A $ is a …