Isoparametric Submanifolds in Products of Space Forms

In this paper, we obtain a classification of isoparametric submanifolds with arbitrary codimensions in products of simply-connected space forms, except for isoparametric hypersurfaces in ${\mathbb{S}}^n\times {\mathbb{S}}^m$ and ${\mathbb{H}}^n\times {\mathbb{H}}^m$.