I will show how to characterize those non-singular volume-preserving vector fields on a closed manifold that are steady solutions to the Euler equation for some Riemannian metric. Given a vector field, the existence of such a metric depends on the existence of a limit to the precision with which the asymptotic cycles can be approximated by certain classes of loops. This is joint work with Daniel Peralta-Salas and Ana Rechtman.
The talk will be via Zoom at:
https://utoronto.zoom.us/j/99576627828
Passcode: 448487