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Clifford algebras and new singular Riemannian foliations in spheres

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Abstract

Using representations of Clifford algebras we construct indecomposable singular Riemannian foliations on round spheres, most of which are non-homogeneous. This generalises the construction of non-homogeneous isoparametric hypersurfaces due to by Ferus, Karcher and Münzner.

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  1. Mathematisches Institut, WWU Münster, Münster, Germany

    Marco Radeschi

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  1. Marco Radeschi
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Correspondence to Marco Radeschi.

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Dedicated to the memory of Sergio Console.

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Radeschi, M. Clifford algebras and new singular Riemannian foliations in spheres. Geom. Funct. Anal. 24, 1660–1682 (2014). https://doi.org/10.1007/s00039-014-0304-5

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  • DOI: https://doi.org/10.1007/s00039-014-0304-5

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