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arXiv · 1802.01019

Asymptotically Hyperbolic 3-Metric with Ricci flow foliation

Hyun Chul Jang
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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.

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Hyun Chul Jang. 2018-02-03. Asymptotically Hyperbolic 3-Metric with Ricci flow foliation. https://doi.org/10.1007/s00023-018-0745-8

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