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arxiv: math/0003197 · v2 · submitted 2000-03-29 · 🧮 math.DG · math.CV

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

classification 🧮 math.DG math.CV
keywords curvaturetanaka-webstercontactformharnackamountcertainclosed
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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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