On isometric embeddings into anti-de sitter spacetimes

Chen Yun Lin; Ye Kai Wang

doi:10.1093/imrn/rnu157

On isometric embeddings into anti-de sitter spacetimes

Chen Yun Lin, Ye Kai Wang

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

14 Citations (Scopus)

Abstract

We show that any metric on S² with Gauss curvature K ≥.κ admits a C^1,1-isometric embedding into the hyperbolic space with sectional curvature.κ. We also give a suf-ficient condition for a metric on S² to be isometrically embedded into anti-de Sitter spacetime with the prescribed cosmological time function.

Original language	English
Pages (from-to)	7130-7161
Number of pages	32
Journal	International Mathematics Research Notices
Volume	2015
Issue number	16
DOIs	https://doi.org/10.1093/imrn/rnu157
Publication status	Published - 2015

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1093/imrn/rnu157

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abstract = "We show that any metric on S2 with Gauss curvature K ≥.κ admits a C1,1-isometric embedding into the hyperbolic space with sectional curvature.κ. We also give a suf-ficient condition for a metric on S2 to be isometrically embedded into anti-de Sitter spacetime with the prescribed cosmological time function.",

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AU - Wang, Ye Kai

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AB - We show that any metric on S2 with Gauss curvature K ≥.κ admits a C1,1-isometric embedding into the hyperbolic space with sectional curvature.κ. We also give a suf-ficient condition for a metric on S2 to be isometrically embedded into anti-de Sitter spacetime with the prescribed cosmological time function.

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EP - 7161

JO - International Mathematics Research Notices

JF - International Mathematics Research Notices

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On isometric embeddings into anti-de sitter spacetimes

Abstract

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