Density of shapes of periodic tori in the cubic case

Nguyen-Thi Dang, Nihar Gargava, Jialun Li

Consider the compact orbits of the ${\mathbb{R}}^2$ action of the diagonal group on $\mathrm{SL}(3,\mathbb{R})/\mathrm{SL}(3,\mathbb{Z})$, the so-called periodic tori. Fo…