Existence of multiple constant mean curvature hypersurfaces for varying Riemannian metrics

Xiaoxiang Jiao, Wenduo Zou

Given a closed Riemannian manifold $(M^{n+1},g)$,$3\le n+1\le 7$.In this paper,we will prove that for any $c>0$,suppose the number of closed $c-CMC$ hypersurfaces is finite,then t…