73 citations · 677 across the 78 of their papers we have counts for
Showing 2016 · math.DSShow all
2 papers · 2 filters
math.DS2016★ 55 cited
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…
math.DS2016★ 3 cited
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…