3 papers
math.AP2026
A symmetry theorem for localizable steady solutions of the 3D Euler equations
Daniel Peralta-Salas, Radu Slobodeanu
A steady Euler flow is localizable if the pressure function is constant along its stream lines. This property was used by Gavrilov to construct the first smooth compactly supported…
math.DG2025
On the existence of critical compatible metrics on contact -manifolds
Yoshihiko Mitsumatsu, Daniel Peralta-Salas, Radu Slobodeanu
We disprove the generalized Chern-Hamilton conjecture on the existence of critical compatible metrics on contact -manifolds. More precisely, we show that a contact -manifold…
math.DG2024
BPS Skyrme models and contact geometry
Radu Slobodeanu, Martin Speight
A Skyrme type energy functional for maps from an oriented Riemannian 3-manifold to a contact 3-manifold is defined, generalizing the BPS Skyrme energy of Ferreira and…