2 problems

Let $M$ and $N$ be Riemannian manifolds, let $\mathcal{C}$ be the space of maps from $M$ to $N$, and let $E\colon \mathcal{C}\to\mathbb{R}$ be the smooth energy. For an asymptotica…

Let $cmathcal{E}(s,n)$ denote the minimal Riesz $s$-energy of $n$ points on $cmathbb{S}^d$, let $V_s(cmathbb{S}^d)$ be the continuous Riesz $s$-energy of the sphere, and let…