Conformal group actions and Segal's cosmology (Q1090950)

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scientific article; zbMATH DE number 4009274
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Conformal group actions and Segal's cosmology
scientific article; zbMATH DE number 4009274

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    Conformal group actions and Segal's cosmology (English)
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    1986
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    A mathematical description of Segal's cosmological model in the framework of conformal group actions is presented. The relation between conformal and causal group actions on time-orientable Lorentzian manifolds is analysed and several examples are discussed. A criterion for the conformality of a map between Lorentzian manifolds is given. The results are applied to Segal's ''conformal compactification'' of Minkowski space. Furthermore, the ''unitary formulation'' of Segal's cosmology is regarded.
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    Segal's cosmological model
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    conformal group actions
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    Lorentzian manifolds
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    conformal compactification
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