Isoperimetric estimates in low dimensional Riemannian products

Juan Miguel Ruiz, Areli Vazquez Juarez

Let $(T^k,h_k)=(S_{r_1}^1\times S_{r_2}^1\times ...\times S_{r_k}^1,d{t}_1^2+d{t}_2^2+...+d{t}_k^2)$ be flat tori, $r_k\ge ...\ge r_2\ge r_1>0$ and $({\mathbb{R}}^n,g_E)$ the Euclidea…