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Polar Foliations of Symmetric Spaces

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Abstract

We prove that a polar foliation of codimension at least three in an irreducible compact symmetric space is hyperpolar, unless the symmetric space has rank one. For reducible symmetric spaces of compact type, we derive decomposition results for polar foliations.

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  1. Mathematisches Institut, Universität zu Köln, Weyertal 86-90, 50931, Köln, Germany

    Alexander Lytchak

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  1. Alexander Lytchak
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Correspondence to Alexander Lytchak.

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The author was supported by a Heisenberg grant of the DFG and by the SFB 878 Groups, Geometry and Actions.

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Lytchak, A. Polar Foliations of Symmetric Spaces. Geom. Funct. Anal. 24, 1298–1315 (2014). https://doi.org/10.1007/s00039-014-0279-2

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