102 citations · 219 across the 13 of their papers we have counts for
14 papers
Brunn-Minkowski type inequalities for the lattice point enumerator
David Iglesias, Jesús Yepes Nicolás, Artem Zvavitch
Geometric and functional Brunn-Minkowski type inequalities for the lattice point enumerator are provided. In particular, we show that $$\mathrm{G}_n((1-λ)K +…
Multisymplectic geometry and Lie groupoids
Henrique Bursztyn, Alejandro Cabrera, David Iglesias
We study higher-degree generalizations of symplectic groupoids, referred to as {\em multisymplectic groupoids}. Recalling that Poisson structures may be viewed as infinitesimal cou…
Poly-Poisson structures
D. Iglesias-Ponte, J. C. Marrero, M. Vaquero
In this paper we introduce poly-Poisson structures as a higher-order extension of Poisson structures. It is shown that any poly-Poisson structure is endowed with a polysymplectic f…
Momentum and energy preserving integrators for nonholonomic dynamics
S. Ferraro, D. Iglesias, D. Martín de Diego
In this paper, we propose a geometric integrator for nonholonomic mechanical systems. It can be applied to discrete Lagrangian systems specified through a discrete Lagrangian defin…
Singular lagrangian systems and variational constrained mechanics on Lie algebroids
D. Iglesias, J. C. Marrero, D. Martin de Diego +1
The purpose of this paper is describe Lagrangian Mechanics for constrained systems on Lie algebroids, a natural framework which covers a wide range of situations (systems on Lie gr…
A general framework for nonholonomic mechanics: Nonholonomic Systems on Lie affgebroids
D. Iglesias, J. C. Marrero, D. Martin de Diego +1
This paper presents a geometric description of Lagrangian and Hamiltonian systems on Lie affgebroids subject to affine nonholonomic constraints. We define the notion of nonholonomi…