On the renormalized volumes for conformally compact Einstein manifolds

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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 $Q$-curvature. We show how all the global information come from the Scattering.
21 pages

Keywords

Differential Geometry, Mathematical Physics, 53C21, 58J50

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/106259

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0512376
 http://arxiv.org/abs/math/0512376

Collections

arXiv