Mean curvature bounds for CMC foliations of manifolds with sectional curvature bounded below

José Edson Sampaio, Euripedes Carvalho da Silva

Let $M^{n+1}$ be a complete Riemannian manifold with ${\sec }_M\ge -K_0$, $K_0\ge 0$, and let $\mathfrak{F}$ be a codimension one foliation of $M$ by hypersurfaces of constant mean curv…