4 problems

Nonexistence of higher-degree smooth absolute minima in the standard contact 3-sphere model
Nonexistence conjecture. There are no smooth absolute minima of $E$ of degree greater than $1$ , irrespective of the coupling constant.
openFrom papersbeltrami-fields contact-geometry skyrme-models
0 responses
9
Weinstein's conjecture for rotational Beltrami flows
Hydrodynamical Weinstein conjecture. Every smooth rotational Beltrami flow on a Riemannian three-manifold has a closed orbit.
openFrom papersbeltrami-fields contact-topology hydrodynamics
0 responses
4
Non-degenerate unfolding conjecture for homoclinic tangencies of Beltrami fields
Let $X\in\mathscr B(\mathbb R^3)$ be a Beltrami field, and let a periodic saddle orbit of $X$ have a homoclinic tangency. A homoclinic tangency is non-degenerately unfolded in…
openFrom papersbeltrami-fields dynamical-systems homoclinic-tangencies
0 responses
6
Conjecture on nonconstant proportionality factors admitting Beltrami fields
Beltrami-field proportionality conjecture. Nonconstant proportionality factors $f$ admitting a nonzero Beltrami field have the following properties:
openFrom papersbeltrami-fields differential-geometry partial-differential-equations
0 responses
5

Nonexistence of higher-degree smooth absolute minima in the standard contact 3-sphere model