Isometric deformations of hypersurfaces in a Euclidean space preserving mean curvature (Q1204167)

Under some conditions the \(H\)-deformability of hypersurfaces in \(\mathbb{R}^ n\) \((n\geq 4)\) is discussed. An \(H\)-deformation means an isometric deformation preserving mean curvature function. \(H\)-deformable surfaces in \(\mathbb{R}^ 3\) can be considered as a kind of generalization of constant mean curvature surfaces, but \(H\)-deformable hypersurfaces are not such a generalization.