2 problems

Ramachandran–Wolfson fill-radius conjecture. Uniformly 2-positive Ricci curvature and uniformly positive isotropic curvature should each imply a bound on the fill radius.

Let $(M,g)$ be a complete Riemannian $n$-dimensional manifold whose positive isotropic curvature is bounded below by $\alpha$, where $\alpha>0$: for every point $p\in M$ and every…