Motions in Einstein's cylinder universe (Q1321689)

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scientific article; zbMATH DE number 558730
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English
Motions in Einstein's cylinder universe
scientific article; zbMATH DE number 558730

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    Motions in Einstein's cylinder universe (English)
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    31 October 1994
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    The author characterizes the motions \(\varphi\) of the Einstein cylinder universe \(C^ n\) by the functional equation \(f(x,y)= f(\varphi(x), \varphi(y))\) for all \(x,y\in C^ n\) where \(f(x,y)= (\text{arc cos}(\sum_{i=1}^ n x_ i y_ i))^ 2- (x_{n+1}- y_{n+1})^ 2\).
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    equations of motion
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    Einstein cylinder universe
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