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- W2962721770 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.
- W2962721770 created "2019-07-30" @default.
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- W2962721770 date "2016-01-01" @default.
- W2962721770 modified "2023-09-27" @default.
- W2962721770 title "PRESCRIBING METRICS ON THE BOUNDARY OF ANTI-DE SITTER 3-MANIFOLDS" @default.
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