Differential and Integral Equations

Asymptotically hyperbolic manifolds with polyhomogeneous metric

Leonardo Marazzi

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text


We analyze the resolvent and define the scattering matrix for asymptotically hyperbolic manifolds with metrics which have a polyhomogeneous expansion near the boundary. We prove that there is always an essential singularity of the resolvent in this setting. We use this analysis to prove an inverse result for conformally compact odd-dimensional Einstein manifolds.

Article information

Differential Integral Equations, Volume 24, Number 9/10 (2011), 973-1000.

First available in Project Euclid: 20 December 2012

Permanent link to this document

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 58J50; 35R30 58J50; 35R30


Marazzi, Leonardo. Asymptotically hyperbolic manifolds with polyhomogeneous metric. Differential Integral Equations 24 (2011), no. 9/10, 973--1000. https://projecteuclid.org/euclid.die/1356012896

Export citation