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• W3102378334 abstract "Let $(M,g)$ be a complete Riemannian $3$-manifold asymptotic to Schwarzschild-anti-deSitter and with scalar curvature $R geq - 6$. Building on work of A.~Neves and G.~Tian and of the first-named author, we show that the leaves of the canonical foliation of $(M, g)$ are the unique solutions of the isoperimetric problem for their area. The assumption $R geq -6$ is necessary. This is the first characterization result for large isoperimetric regions in the asymptotically hyperbolic setting that does not assume exact rotational symmetry at infinity." @default.
• W3102378334 created "2020-11-23" @default.
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• W3102378334 date "2019-02-23" @default.
• W3102378334 modified "2023-10-13" @default.
• W3102378334 title "Characterization of Large Isoperimetric Regions in Asymptotically Hyperbolic Initial Data" @default.
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• W3102378334 doi "https://doi.org/10.1007/s00220-019-03354-2" @default.
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