Polyhomogénéité des métriques asymptotiquement hyperboliques complexes le long du flot de Ricci

Abstract

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

20 pages, written in French, final version

Cited by in corpus (2)

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