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Isoparametric functions on $\mathbb{R}^n\times\mathbb{M}^m$ (1801.00351v2)

Published 31 Dec 2017 in math.DG

Abstract: We classify the isoparametric functions on $\mathbb{R}n\times\mathbb{M}m$, $n, m\geq2$, with compact level sets, where $\mathbb{M}m$ is a connected, closed Riemannian manifold of dimension $m$. Also, we classify the isoparametric hypersurfaces in $\mathbb{S}2\times\mathbb{R}2$ with constant principal curvatures.

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