On isometric embeddings into anti-de sitter spacetimes

Chen Yun Lin, Ye-Kai Wang

Research output: Contribution to journalArticle

4 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)7130-7161
Number of pages32
JournalInternational Mathematics Research Notices
Volume2015
Issue number16
DOIs
Publication statusPublished - 2015 Jan 1

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Isometric Embedding
Space-time
Gauss Curvature
Metric
Hyperbolic Space
Sectional Curvature

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

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On isometric embeddings into anti-de sitter spacetimes. / Lin, Chen Yun; Wang, Ye-Kai.

In: International Mathematics Research Notices, Vol. 2015, No. 16, 01.01.2015, p. 7130-7161.

Research output: Contribution to journalArticle

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