3 papers
math.SG2023
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…
math.SG2023
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…
math.DS2023
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…