2 problems

Berger's conjecture. In the Riemannian setting, $Q_{m,n,ij}^{(p,q),2}$ is expressible only in terms of curvature, without involving higher covariant derivatives.

Let $M$ be a Riemannian manifold, let $d_M(x,y)$ be the Riemannian distance, and for a knot $K\subset M$ define … For an isotopy class, an $E^{(\alpha)}_M$--minimizer is a knot in…