2 citations · 4 across the 7 of their papers we have counts for
9 papers
A counterexample to the singular Weinstein conjecture
Josep Fontana-McNally, Eva Miranda, Cédric Oms +1
In this article, we study the dynamical properties of Reeb vector fields on b-contact manifolds. We show that in dimension 3, the number of so-called singular periodic orbits can b…
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…
The Arnold conjecture for singular symplectic manifolds
Joaquim Brugués, Eva Miranda, Cédric Oms
In this article, we study the Hamiltonian dynamics on singular symplectic manifolds and prove the Arnold conjecture for a large class of -symplectic manifolds. Novel technique…
Existence and classification of -contact structures
Robert Cardona, Cédric Oms
A -contact structure on a -manifold is a Jacobi structure on satisfying a transversality condition along the hypersurface . We show that, in three dimensions,…
Morse functions and contact convex surfaces
Robert Cardona, Cédric Oms
Let be a Morse function on a closed surface such that zero is a regular value and such that admits neither positive minima nor negative maxima. In this expository note,…
On the singular Weinstein conjecture and the existence of escape orbits for -Beltrami fields
Eva Miranda, Cédric Oms, Daniel Peralta-Salas
Motivated by Poincaré's orbits going to infinity in the (restricted) three-body (see [26] and [6]), we investigate the generic existence of heteroclinic-like orbits in a neighbourh…
The singular Weinstein conjecture
Eva Miranda, Cédric Oms
In this article, we investigate Reeb dynamics on -contact manifolds, previously introduced in [MiO], which are contact away from a hypersurface but satisfy certain transve…
Contact structures with singularities: from local to global
Eva Miranda, Cédric Oms
In this article we introduce and analyze in detail singular contact structures, with an emphasis on -contact structures, which are tangent to a given smooth hypersurface a…
An Invitation to Singular Symplectic Geometry
Roisin Braddell, Amadeu Delshams, Eva Miranda +2
In this paper we analyze in detail a collection of motivating examples to consider -symplectic forms and folded-type symplectic structures. In particular, we provide models in…