6 papers
Canonical frames in contact 3-manifolds and applications
Brayan Ferreira, Marcelo Miranda, Alejandro Vicente
We study contact 3-manifolds with a special global frame inspired by Cartan's structure equations. This frame is dual to a generalized Finsler structure defined by Bryant. We p…
Symplectic capacities of -invariant dynamically convex domains in
Arthur Melo, Vinicius G. B. Ramos, Alejandro Vicente
In this paper, we prove that all normalized symplectic capacities agree for dynamically convex domains in that are invariant under any Hamiltonian -action isoto…
Gromov width of the disk cotangent bundle of spheres of revolution
Brayan Ferreira, Vinicius G. B. Ramos, Alejandro Vicente
Inspired by work of the first and second author, this paper studies the Gromov width of the disk cotangent bundle of spheroids and Zoll spheres of revolution. This is achieved with…
On Lagrangian barriers and applications of Non-Squeezing
Alejandro Vicente
In this note we show the existence of Lagrangian barriers in a certain class of domains in , including dual Lagrangian products and some ``sufficiently" round doma…
The strong Viterbo conjecture and various flavours of duality in Lagrangian products
Alejandro Vicente
In this note we analyze normalized symplectic capacities for two different notions of duality in Lagrangian products. Let be a -tuple of Young functions with Legendre trans…
On singular Lagrangian fibrations and applications to symplectic embeddings I
Santiago Achig-Andrango, Renato Vianna, Alejandro Vicente
In this paper, we construct singular Lagrangian fibrations on some examples of disk cotangent bundles in dimensions 4 and 6. As an application, we show how this construction can be…