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  Convex surfaces with prescribed induced metrics in anti-de Sitter spacetimes

Chen, Q., & Schlenker, J.-M. (submitted). Convex surfaces with prescribed induced metrics in anti-de Sitter spacetimes.

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Item Permalink: https://hdl.handle.net/21.11116/0000-000F-59FC-2 Version Permalink: https://hdl.handle.net/21.11116/0000-000F-59FD-1
Genre: Preprint

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2405.01912.pdf (Preprint), 217KB
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File downloaded from arXiv at 2024-05-29 15:42
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https://doi.org/10.48550/arXiv.2405.01912 (Preprint)
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 Creators:
Chen, Qiyu, Author
Schlenker, Jean-Marc1, Author                 
Affiliations:
1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Differential Geometry, Geometric Topology
 Abstract: Let S be a closed surface of genus at least 2, let h be a smooth metric of curvature K<−1 on S, and let h0 be a hyperbolic metric on S. We show that there exists a unique quasifuchsian AdS spacetime with left metric isotopic to h0, containing a past-convex Cauchy surface with induced metric isotopic to h.

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Language(s): eng - English
 Dates: 2024-05-03
 Publication Status: Submitted
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 Rev. Type: No review
 Identifiers: arXiv: 2405.01912
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