2 citations · 2 across the 6 of their papers we have counts for
9 papers
Sub-Riemannian structures and non-transitive Cartan geometries via Lie groupoids
Ivan Beschastnyi, Francesco Cattafi, João Nuno Mestre
In this paper we discuss how to associate a suitable non-transitive version of a Cartan connection to sub-Riemannian manifolds of corank 1 (including contact and quasi-contact sub-…
Jacobi Hamiltonian Integrators: construction and applications
Adérito Araújo, Gonçalo Inocêncio Oliveira, João Nuno Mestre
We propose a systematic framework for constructing geometric integrators for Hamiltonian systems on Jacobi manifolds. By combining Poissonization of Jacobi structures with homogene…
Jacobi Hamiltonian Integrators
Adérito Araújo, Gonçalo Inocêncio Oliveira, João Nuno Mestre
We develop a method of constructing structure-preserving integrators for Hamiltonian systems in Jacobi manifolds. Hamiltonian mechanics, rooted in symplectic and Poisson geometry,…
Equivariant deformation problems and homotopy operators
Sebastián Daza, João Nuno Mestre
We use homotopy operators for the -algebra associated with an equivariant deformation problem in order to describe a smooth parametrization of the space of structures aro…
Deformations of symplectic groupoids
Cristian Camilo Cárdenas, João Nuno Mestre, Ivan Struchiner
We describe the deformation cohomology of a symplectic groupoid, and use it to study deformations via Moser path methods, proving a symplectic groupoid version of the Moser Theorem…
The transverse density bundle and modular classes of Lie groupoids
Marius Crainic, João Nuno Mestre
In this note we revisit the notions of transverse density bundle and of modular classes of Lie algebroids and Lie groupoids; in particular, we point out that one should use the tra…