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

Mathematics – Differential Geometry

Scientific paper

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13 pages

Scientific paper

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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