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arXiv · 2010.11877

Homogeneous Lagrangian foliations on complex space forms

Jose Carlos Diaz-Ramos·Miguel Dominguez-Vazquez·Takahiro Hashinaga
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Abstract

We classify holomorphic isometric actions on complex space forms all 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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Jose Carlos Diaz-Ramos, Miguel Dominguez-Vazquez, Takahiro Hashinaga. 2020-10-22. Homogeneous Lagrangian foliations on complex space forms. https://arxiv.org/abs/2010.11877

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