On the renormalized volumes for conformally compact Einstein manifolds
Differential Geometry
2007-05-23 v2 Mathematical Physics
math.MP
Abstract
We study the renormalized volume of a conformally compact Einstein manifold. In even dimensions, we derive the analogue of the Chern-Gauss-Bonnet formula incorporating the renormalized volume. When the dimension is odd, we relate the renormalized volume to the conformal primitive of the -curvature. We show how all the global information come from the Scattering.
Cite
@article{arxiv.math/0512376,
title = {On the renormalized volumes for conformally compact Einstein manifolds},
author = {Alice Chang and Jie Qing and Paul Yang},
journal= {arXiv preprint arXiv:math/0512376},
year = {2007}
}
Comments
21 pages