Riemann geometry and hydrostatic

[delplace]

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 ?

[jambaugh]

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?

[HallsofIvy]

What do you mean by "cte"?