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Global existence and convergence of solutions of the Calabi flow on Einstein 4-manifolds

Published online by Cambridge University Press:  22 January 2016

Shu-Cheng Chang
Shu-Cheng Chang*
Affiliation:
Department of Mathematics, National Tsing Hua University, Hsinchu, Taiwan, 30043, R.O.C.scchang@math.nthu.edu.tw
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Abstract

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In this paper, firstly, we show the Bondi-mass type estimate of solutions of Calabi flow on closed 4-manifolds. Secondly, in our applications, we obtain the long time existence on closed 4-manifolds. In particular, we are able to show the asymptotic convergence of a subsequence of solutions of the Calabi flow on closed Einstein 4-manifolds.

Keywords

53C2158G03
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 163 , September 2001 , pp. 193 - 214
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2000

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