Mathematics > Differential Geometry
arXiv:2606.25940 (math)
[Submitted on 24 Jun 2026]
Abstract:Given two conformal asymptotically hyperbolic metrics which are either both simple or both negatively curved, we show that if their (marked) renormalized boundary distances coincide for some choices of conformal representatives in their conformal infinities, then the two metrics are equal.
| Comments: | 14 pages, 1 figure, comments are welcome |
| Subjects: | Differential Geometry (math.DG); Mathematical Physics (math-ph); Analysis of PDEs (math.AP); Dynamical Systems (math.DS) |
| MSC classes: | 35R30, 37D40, 53C22 |
| Cite as: | arXiv:2606.25940 [math.DG] |
| (or arXiv:2606.25940v1 [math.DG] for this version) | |
| https://doi.org/10.48550/arXiv.2606.25940 arXiv-issued DOI via DataCite (pending registration) |
Submission history
From: Sebastián Muñoz-Thon [view email]
[v1]
Wed, 24 Jun 2026 15:17:07 UTC (18 KB)
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