195 citations · 627 across the 82 of their papers we have counts for
3 papers · 2 filters
Existence of minimal flows on nonorientable surfaces
J. G. Espín Buendía, D. Peralta-Salas, G. Soler López
Surfaces admitting flows all whose orbits are dense are called minimal. Minimal orientable surfaces were characterized by J.C. Benière in 1998, leaving open the nonorientable case.…
Helicity is the only integral invariant of volume-preserving transformations
Alberto Enciso, Daniel Peralta-Salas, Francisco Torres de Lizaur
We prove that any regular integral invariant of volume-preserving transformations is equivalent to the helicity. Specifically, given a functional defined on exact dive…
A problem of Ulam about magnetic fields generated by knotted wires
Alberto Enciso, Daniel Peralta-Salas
In the context of magnetic fields generated by wires, we study the connection between the topology of the wire and the topology of the magnetic lines. We show that a generic knotte…