Reference : Prescribing metrics on the boundary of AdS 3-manifolds
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/26876
Prescribing metrics on the boundary of AdS 3-manifolds
English
Tamburelli, Andrea mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
2016
International Mathematics Research Notices
Oxford University Press
Yes (verified by ORBilu)
1073-7928
1687-0247
Oxford
United Kingdom
[en] Anti-de-Sitter geometry
[en] We prove that given two metrics g+ and g− with curvature κ<−1 on a closed, oriented surface S of genus τ≥2, there exists an AdS 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.
http://hdl.handle.net/10993/26876

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