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

數學系

研究成果: Article › 同行評審

14 引文斯高帕斯（Scopus）

摘要

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.

原文	English
頁（從 - 到）	7130-7161
頁數	32
期刊	International Mathematics Research Notices
卷	2015
發行號	16
DOIs	https://doi.org/10.1093/imrn/rnu157
出版狀態	Published - 2015

All Science Journal Classification (ASJC) codes

一般數學

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10.1093/imrn/rnu157

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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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On isometric embeddings into anti-de sitter spacetimes

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