2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/161641In this paper, we study the relation of the monotonicity of Hawking Mass and geometric flow problems. We show that along the Hamilton-DeTurck flow with bounded curvature coupled with the modified mean curvature flow, the Hawking mass of the hypersphere with a sufficiently large radius in Schwarzschild spaces is monotone non-decreasing.7 pagesDifferential GeometryAnalysis of PDEs53C, 58Jtext