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arXiv · 1305.5457

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

Frédéric Rochon
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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.

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Frédéric Rochon. 2014-08-07. Polyhomogénéité des métriques asymptotiquement hyperboliques complexes le long du flot de Ricci. https://arxiv.org/abs/1305.5457

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