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The Harnack estimate for the Yamabe flow on CR manifolds of dimension 3

Shu-Cheng Chang, Jih-Hsin Cheng

math.DGarXiv:math/0003197

Abstract

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.

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