Homogeneous Lagrangian foliations on complex space forms

Díaz-Ramos, José; Domínguez-Vázquez, Miguel; Hashinaga, Takahiro

doi:10.1090/proc/16144

Homogeneous Lagrangian foliations on complex space forms
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by José Carlos Díaz-Ramos, Miguel Domínguez-Vázquez and Takahiro Hashinaga

Proc. Amer. Math. Soc. 151 (2023), 823-833

DOI: https://doi.org/10.1090/proc/16144

Published electronically: September 2, 2022

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Abstract:

We 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.

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