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- W2562456229 abstract "We prove that given two metrics g+ and g− with curvature � < 1 on a closed, oriented surface S of genus � � 2, there exists an AdS3 manifold N with smooth, space-like, strictly convex boundary such that the induced metrics on the two connected components of @N are equal to g+ and g−. Using the duality between convex space-like surfaces in AdS3, we obtain an equivalent result about the prescription of the third fundamental form. This answers partially Question 3.5 in (BBD+12)." @default.
- W2562456229 created "2017-01-06" @default.
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- W2562456229 date "2016-12-26" @default.
- W2562456229 modified "2023-09-26" @default.
- W2562456229 title "Prescribing Metrics on the Boundary of Anti-de Sitter 3-Manifolds" @default.
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- W2562456229 doi "https://doi.org/10.1093/imrn/rnw278" @default.
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