Reference : Prescribing metrics on the boundary of AdS 3-manifolds
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
Prescribing metrics on the boundary of AdS 3-manifolds
Tamburelli, Andrea mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
International Mathematics Research Notices
Oxford University Press
Yes (verified by ORBilu)
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.

File(s) associated to this reference

Fulltext file(s):

Open access
Prescribing_metrics_AdS.pdfAuthor preprint382.2 kBView/Open

Bookmark and Share SFX Query

All documents in ORBilu are protected by a user license.