Homogeneous Lagrangian foliations on complex space forms

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URI: http://hdl.handle.net/10347/34686
E-ISSN: 1088-6826
DOI: 10.1090/proc/16144

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2023

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

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Matemáticas
Centro de Investigación e Tecnoloxía Matemática de Galicia (CITMAga)