Foliation of area minimizing hypersurfaces in asymptotically flat manifolds and Schoen's conjecture

Shihang He, Yuguang Shi, Haobin Yu

In this paper, we demonstrate that any asymptotically flat manifold $(M^n,g)$ with $4\le n\le 7$ can be foliated by a family of area-minimizing hypersurfaces, each of which is a…