Conformally compact Lovelock metrics are polyhomogeneous near the boundary, and the leading obstruction to smoothness in even dimensions is the Einstein ambient obstruction tensor scaled by a coupling constant.
Analyse sur un demi-espace hyperbolique et poly- homog\'en\'eit\'e locale
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Conformally compact metrics and the Lovelock tensors
Conformally compact Lovelock metrics are polyhomogeneous near the boundary, and the leading obstruction to smoothness in even dimensions is the Einstein ambient obstruction tensor scaled by a coupling constant.