3 problems

Security conjecture. A closed Riemannian manifold is secure if and only if it is flat.

Connection-blocking conjecture. The space $M$ is blockable if and only if

Let $(M,g)$ be a closed $C^{\infty}$ Riemannian manifold. Here, $(M,g)$ is secure if every pair of points has the finite blocking property, and uniformly secure if there is a unifo…