2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/58927We deform the contact form by the amount of the Tanaka-Webster curvature on a closed spherical $CR$ three-manifold. We show that if a contact form evolves with free torsion and positive Tanaka-Webster curvature as initial data, then a certain Harnack inequality for the Tanaka-Webster curvature holds.13 pagesDifferential GeometryComplex Variables32VXX;53C44text