On quotients of spaces with Ricci curvature bounded below

@article{GalazGarcia2017OnQO,
  title={On quotients of spaces with Ricci curvature bounded below},
  author={Fernando Galaz-Garc'ia and Martin Kell and A. Mondino and Gerardo Sosa},
  journal={Journal of Functional Analysis},
  year={2017},
  volume={275},
  pages={1368-1446}
}
Abstract Let ( M , g ) be a smooth Riemannian manifold and G a compact Lie group acting on M effectively and by isometries. 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. The goal of the paper is to prove the corresponding stability properties for synthetic Ricci… Expand

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