%0 Journal Article %T The Harnack estimate for the Yamabe flow on CR manifolds of dimension 3 %A Shu-Cheng Chang %A Jih-Hsin Cheng %J Mathematics %D 2000 %I arXiv %X We 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. %U http://arxiv.org/abs/math/0003197v2