On quotients of spaces with Ricci curvature bounded below by Galaz-García, F, Kell, M, Mondino, A, Sosa, G

“…It is well known that a lower bound of the sectional curvature of (M,g) is again a bound for the curvature of the quotient space, which is an Alexandrov space of curvature bounded below. Moreover, the analogous stability property holds for metric foliations and submersions. …”