Asymptotically Hyperbolic 3-Metric with Ricci flow foliation
Differential Geometry
2019-03-27 v1
Abstract
In general relativity, there have been a number of successful constructions for asymptotically flat metrics with a certain background foliation. In particular, C. -Y. Lin used a foliation by the Ricci flow on 2-spheres to establish an asymptotically flat extension and C. Sormani and Lin proved useful results with this extension. In this paper, we construct asymptotically hyperbolic 3-metrics with the Ricci flow foliation. We also study the rigid case when the Hawking mass of the inner surface of the manifold agrees with its total mass.
Cite
@article{arxiv.1802.01019,
title = {Asymptotically Hyperbolic 3-Metric with Ricci flow foliation},
author = {Hyun Chul Jang},
journal= {arXiv preprint arXiv:1802.01019},
year = {2019}
}