Polyhomog\'en\'eit\'e des m\'etriques asymptotiquement hyperboliques complexes le long du flot de Ricci
Differential Geometry
2014-08-08 v2 Analysis of PDEs
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 K\"ahler, sharper results are obtained in terms of a potential.
Keywords
Cite
@article{arxiv.1305.5457,
title = {Polyhomog\'en\'eit\'e des m\'etriques asymptotiquement hyperboliques complexes le long du flot de Ricci},
author = {Frédéric Rochon},
journal= {arXiv preprint arXiv:1305.5457},
year = {2014}
}
Comments
20 pages, written in French, final version