5 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…
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…
Max-min energy of pseudoholomorphic curves and periodic Reeb flows in dimension
Rafael Fernandes, Brayan Ferreira
In this paper, we make use of elementary spectral invariants given by the max-min energy of pseudoholomorphic curves, recently defined by Michael Hutchings, to study periodic -d…
Systolic inequalities on the sphere from symplectic embeddings
Brayan Ferreira
We use properties of symplectic capacities that were recently defined by Hutchings to obtain upper bounds on the minimal action of Reeb orbits on fiberwise star-shaped hypersurface…
The number of periodic points of surface symplectic diffeomorphisms
Marcelo S. Atallah, Marta Batoréo, Brayan Ferreira
We use symplectic tools to establish a smooth variant of Franks theorem for a closed orientable surface of positive genus ; it implies that a symplectic diffeomorphism isotopic…