44 citations · 85 across the 10 of their papers we have counts for
10 papers
Reduction of symmetric time-dependent Hamiltonian systems I: presymplectic principal -bundles
C. Benítez, D. Iglesias Ponte, J. C. Marrero +1
The reduction of mechanical presymplectic structures and its application to the reduction of time-dependent Hamiltonian systems were developed in a recent paper (Gutiérrez Sagredo…
Cosymplectic groupoids
Rui Loja Fernandes, David Iglesias Ponte
A cosymplectic groupoid is a Lie groupoid with a multiplicative cosymplectic structure. We provide several structural results for cosymplectic groupoids and we discuss the relation…
Mechanical Hamiltonian systems with respect to linear Poisson structures and Jacobi-Reeb dynamics
D. Iglesias Ponte, J. C. Marrero, E. Padrón
In this paper, we present a relation between Jacobi-Reeb dynamics and the dynamics associated with a mechanical Hamiltonian system with respect to a linear Poisson structure on a v…
Morse families in optimal control problems
María Barbero-Liñán, David Iglesias Ponte, David Martín de Diego
We geometrically describe optimal control problems in terms of Morse families in the Hamiltonian framework. These geometric structures allow us to recover the classical first order…
Integrability of Poisson-Lie group actions
Rui Loja Fernandes, David Iglesias Ponte
We establish a 1:1 correspondence between Poisson-Lie group actions on integrable Poisson manifolds and twisted multiplicative hamiltonian actions on source 1-connected symplectic…
Hamiltonian spaces for Manin pairs over manifolds
David Iglesias Ponte, Ping Xu
We introduce the notion of Hamiltonian spaces for Manin pairs over manifolds, using the so-called generalized Dirac structures. As an example, we describe Hamiltonian spaces of a q…