2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/219601We consider the evolution of a closed convex hypersurface under a volume preserving curvature flow. The speed is given by a power of the m-th mean curvature plus a volume preserving term, including the case of powers of the mean curvature or of the Gauss curvature. We prove that if the initial hypersurface satisfies a suitable pinching condition, the solution exists for all times and converges to a round sphere.Differential GeometryAnalysis of PDEs53C44text