The Harnack Estimate for the Yamabe Flow on CR Manifolds of Dimension 3 |
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| Authors: | Shu-Cheng Chang Jih-Hsin Cheng |
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| Institution: | (1) Department of Mathematics, National Tsing-Hua University Hsinchu, Taiwan, R.O.C.;(2) Institute of Mathematics, Academia Sinica, Nankang, Taipei, Taiwan, R.O.C. |
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| Abstract: | We deform the contact form by the amount of the Tanaka–Webstercurvature on a closed spherical CR three-manifold.We show that if a contact form evolves with free torsion from initial datawith positive Tanaka–Webster curvature, then a certainHarnack inequality for the Tanaka–Webster curvature holds. |
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| Keywords: | contact form Tanaka– Webster curvature spherical CR manifold Harnack inequality |
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