Amongst other results, we perform a 'contactization'method to construct, in every odd
dimension, many contact Lie groups with a discrete center, unlike the usual (classical) …

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 …

We present some examples of locally conformal symplectic structures of the first kind on
compact nilmanifolds which do not admit Vaisman metrics. One of these examples does not …

We propose a Leibniz algebra, to be called DD $^+ $, which is a generalization of the
Drinfel'd double. We find that there is a one-to-one correspondence between a DD $^+ …

Poisson–Lie T-duality/plurality was recently generalized to Jacobi–Lie T-plurality formulated
in terms of double field theory and based on Leibniz algebras given by the structure …

VB-groupoids and algebroids are vector bundle objects in the categories of Lie groupoids
and Lie algebroids, respectively, and they are related via the Lie functor. VB-groupoids and …

We prove some general results about the relation between the 1-cocycles of an arbitrary Lie
algebroid A over M and the leaves of the Lie algebroid foliation on M associated with A …

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We investigate contact Lie groups having a left invariant Riemannian or pseudo-
Riemannian metric with specific properties such as being bi-invariant, flat, negatively curved …

We describe the definition of Jacobi (generalized)–Lie bialgebras ((g, ϕ 0),(g∗, X 0)) in
terms of structure constants of the Lie algebras g and g∗ and components of their 1-cocycles …