Volume renormalization for conformally compact asymptotically hyperbolic manifolds in dimension four
Differential Geometry
2016-12-30 v1
Abstract
We derive a new renormalized volume formula for conformally compact asymptotically hyperbolic manifolds in dimension four. The formula generalizes the ones given by Anderson, Albin, and Chang-Qing-Yang for the case of Poincare-Einstein manifolds. We also derive variational formulas for the renormalized seen as a functional on the manifold.
Cite
@article{arxiv.1612.09026,
title = {Volume renormalization for conformally compact asymptotically hyperbolic manifolds in dimension four},
author = {Shih-Tsai Feng},
journal= {arXiv preprint arXiv:1612.09026},
year = {2016}
}