Foliation by area-constrained Willmore spheres near a non-degenerate critical point of the scalar curvature

Norihisa Ikoma, Andrea Malchiodi, Andrea Mondino

Let $(M,g)$ be a 3-dimensional Riemannian manifold. The goal of the paper it to show that if $P_0\in M$ is a non-degenerate critical point of the scalar curvature, then a neighbo…