2 problems

Let $m$ be the mass of a material point moving on the sphere $S^{n-1}\subset\mathbb{R}^n$, let the point be placed in a constant homogeneous magnetic field described by the paramet…

Let $(S^2,g,\sigma)$ be a symplectic magnetic system. For $m>0$, define the magnetic curvature on the energy level $\Sigma_m$ by … Assume that $K_m$ is positive. Contact-type conje…