Riemann geometry and hydrostatic

delplace
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I read in Elie CARTAN book : "la Géométrie des espace de Riemann" that when R = cte, you can compare space-time to hydrostatic description of a liquid. Is it true ?
 
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Why would you doubt Elie Cartan?

[EDIT]: More precisely why would you take the word of a random reply here over the word of Cartan if the two should differ?
 
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What do you mean by "cte"?
 
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