Abstract
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.
Citation
Shu-Cheng Chang. "Global existence and convergence of solutions of the Calabi flow on Einstein 4-manifolds." Nagoya Math. J. 163 193 - 214, 2001.
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