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arXiv · 2502.20191

Isoparametric foliations and bounded geometry

Manuel Krannich·Alexander Lytchak·Marco Radeschi
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Abstract

We prove that there are only finitely many isoparametrically foliated closed connected Riemannian manifolds with bounded geometry, fixed dimension $n\neq5$, and finite fundamental group, up to foliated diffeomorphism. In addition, we construct various infinite families of isoparametric foliations that are mutually not foliated diffeomorphic, for instance on a fixed sphere.

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Manuel Krannich, Alexander Lytchak, Marco Radeschi. 2025-02-27. Isoparametric foliations and bounded geometry. https://arxiv.org/abs/2502.20191

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