5 citations · 19 across the 10 of their papers we have counts for
Showing 2022Show all
3 papers · 1 filter
math.DS2022
The dynamics of conformal Hamiltonian flows: dissipativity and conservativity
Simon Allais, Marie-Claude Arnaud
We study in detail the dynamics of conformal Hamiltonian flows that are defined on a conformal symplectic manifold (this notion was popularized by Vaisman in 1976). We show that th…
math.SG2022
Morse estimates for translated points on unit tangent bundles
Simon Allais
In this article, we study conjectures of Sandon on the minimal number of translated points in the special case of the unit tangent bundle of a Riemannian manifold. We restrict ours…
math.SG2022★ 2 cited
On the Hofer-Zehnder conjecture on weighted projective spaces
Simon Allais
We prove an extension of the homology version of the Hofer-Zehnder conjecture proved by Shelukhin to the weighted projective spaces which are symplectic orbifolds. In particular, w…