Non-negatively curved GKM orbifolds

Abstract In this paper we study non-negatively curved and rationally elliptic GKM $$_4$$ 4 manifolds orbifolds. We show that their rational cohomology rings are isomorphic to the of certain model These models quotients isometric actions finite groups on torus Moreover, give a simplified proof characterisation products simplices among orbit spaces locally standard manifolds. This was originally proved in Wiemeler (J Lond Math Soc 91(3): 667–692, 2015) used there obtain classification