Uniqueness of starshaped compact hypersurfaces with prescribed $m$-th mean curvature in hyperbolic space

J. Lucas M. Barbosa, Jorge H. S. de Lira, Vladimir Oliker

Let $\psi$ be a given function defined on a Riemannian space. Under what conditions does there exist a compact starshaped hypersurface $M$ for which $\psi$, when evaluated on $M$, coinci…