Díaz Ramos, José CarlosDomínguez Vázquez, MiguelHashinaga, Takahiro2024-09-022024-09-022023Proc. Amer. Math. Soc. 151 (2023), 823-833http://hdl.handle.net/10347/34686We classify holomorphic isometric actions on complex space forms all of whose orbits are Lagrangian submanifolds, up to orbit equivalence. The only examples are Lagrangian affine subspace foliations of complex Euclidean spaces, and Lagrangian horocycle foliations of complex hyperbolic spaces.engCC BY-NC-NDjournal article10.1090/proc/161441088-6826open access