Analyse sur un demi-espace hyperbolique et poly-homogeneite locale

TL;DR

This paper proves local polyhomogeneity of asymptotically hyperbolic Einstein metrics, enhancing understanding of their structure and aiding in unique continuation problems in geometric analysis.

Contribution

It establishes the local polyhomogeneity of asymptotically hyperbolic Einstein metrics, providing new insights into their regularity and applications.

Findings

Proved local polyhomogeneity of hyperbolic Einstein metrics

Applied results to unique continuation problems

Enhanced understanding of asymptotic metric behavior

Abstract

We prove local polyhomogeneity of asymptotically real or complex hyperbolic Einstein metrics, with application to unique continuation problems.