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We show that the polyhomogeneity at infinity of an asymptotically complexhyperbolic metric is preserved along the Ricci-DeTurck flow. Moreover, if theinitial metric is `smooth up to the boundary', this will be preserved by theRicci-DeTurck flow and the normalized Ricci flow. When the initial metric isK\"ahler, sharper results are obtained in terms of a potential.

Polyhomog\'en\'eit\'e des m\'etriques asymptotiquement hyperboliques complexes le long du flot de Ricci