Codimension two polar homogeneous foliations on symmetric spaces of noncompact type

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2025_advances_diaz_codimension.pdf (798.29 KB)
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URI: https://hdl.handle.net/10347/43030
ISSN: 0001-8708
DOI: 10.1016/j.aim.2025.110295

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2025-06

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Elsevier
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Abstract

We classify homogeneous polar foliations of codimension two on irreducible symmetric spaces of noncompact type up to orbit equivalence. Any such foliation is either hyperpolar or the canonical extension of a polar homogeneous foliation on a rank one symmetric space.

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Polar action| Foliation| Symmetric space

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Díaz Ramos, J.C., Lorenzo Naveiro, J.M. Codimension two polar homogeneous foliations on symmetric spaces of noncompact type. Advances in Mathematics, 472, 1-31. https://doi.org/10.1016/j.aim.2025.110295

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Supported by projects PID2022-138988NB-I00/AEI/10.13039/501100011033 (Spain) and ED431F 2020/04, ED431C 2023/31 (Xunta de Galicia, Spain). The second author acknowledges support of the FPI program PRE2020-094450 (Spain).

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© 2025 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY-NC license. Attribution-NonCommercial 4.0 International

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