152 citations · 626 across the 48 of their papers we have counts for
55 papers
Equivariant cosymplectic geometry
Eva Miranda, Pablo Nicolás
Cosymplectic manifolds provide a natural geometric framework for codimension-one symplectic foliations and arise throughout geometry and mathematical physics. We develop an equivar…
Hamiltonian group actions in cosymplectic geometry
Eva Miranda, Pablo Nicolás
We develop a theory of Hamiltonian group actions on cosymplectic manifolds. These odd-dimensional manifolds combine a codimension-one symplectic foliation with a distinguished Reeb…
An equivariant Reeb-Beltrami correspondence and the Kepler-Euler flow
Josep Fontana-McNally, Eva Miranda, Daniel Peralta-Salas
We prove that the correspondence between Reeb and Beltrami vector fields can be made equivariant whenever additional symmetries of the underlying geometric structures are considere…
Constructions of b-semitoric systems
Joaquim Brugués, Sonja Hohloch, Pau Mir +1
In this article, we introduce -semitoric systems as a generalization of semitoric systems, specifically tailored for -symplectic manifolds. The objective of this article is t…
From 2N to infinitely many escape orbits
Josep Fontana-McNally, Eva Miranda, Cédric Oms +1
In this short note, we prove that singular Reeb vector fields associated with generic -contact forms have either (at least) or an infinite number of escape orbits, where $N…
Action-angle coordinates and KAM theory for singular symplectic manifolds
Eva Miranda, Arnau Planas
This monograph explores classification and perturbation problems for integrable systems on a class of Poisson manifolds called -Poisson manifolds. Even if the class of -P…