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The Fourth-Order Q-Curvature Flow on Closed 3-Manifolds

Published online by Cambridge University Press:  11 January 2016

Shu-Cheng Chang  and
Chin-Tung Wu
Shu-Cheng Chang
Affiliation:
Department of Mathematics, National Tsing Hua University, Hsinchu Taiwan 30013 R.O.C., [email protected]
Chin-Tung Wu
Affiliation:
Department of Mathematics Education, National Pingtung University of Education, Pingtung 90003, Taiwan R.O.C., [email protected]
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Abstract

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Let the Paneitz operator P0 be strictly positive on a closed 3-manifold M with a fixed conformal class. It is proved that the solution of a fourth-order Q-curvature flow exists on M for all time and converges smoothly to a metric of constant Q-curvature.

Keywords

53C2158G03
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 185 , 2007 , pp. 1 - 15
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2007

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