Q-curvature of Weyl structures and Poincar\'e metrics
Differential Geometry
2015-02-24 v1
Abstract
We study an asymptotic Dirichlet problem for Weyl structures on asymptotically hyperbolic manifolds. By the bulk-boundary correspondence, or more precisely by the Fefferman-Graham theorem on Poincar\'e metrics, this leads to a natural extension of the notion of Branson's -curvature to Weyl structures on even-dimensional conformal manifolds.
Keywords
Cite
@article{arxiv.1502.06537,
title = {Q-curvature of Weyl structures and Poincar\'e metrics},
author = {Kengo Hirachi and Christian Lübbe and Yoshihiko Matsumoto},
journal= {arXiv preprint arXiv:1502.06537},
year = {2015}
}
Comments
11 pages