2 problems

Gromov's conjecture. If no bubbling occurs along the sequence, or if the bubbles forming along the sequence can be cut out, then a subsequence of $M_j$ converges in some sense to t…

Let $X$ be an $n$-manifold with Riemannian metric $g$, and let $R_g$ denote its scalar curvature. A Sobolev-type weak metric is a weak metric on the space of $n$-manifolds. Gromov'…