2026/07/23 by Teng Wang
Mathematics · #math.DG
In this article, we give several families of new examples of isoparametric foliations of Sn× Sn; establish some basic properties of isoparametric foliations of Sn× Sn of codimension 1, especially any of them can be realized as level sets of the restriction of a bi-homogeneous polynomial of bi-degree (1,1),(2,2),(3,3),(4,4) or (6,6) to Sn× Sn; and classify bi-homogeneous isoparametric polynomials of bi-degree (1,1) and (2,2) and isoparametric foliations on Sn× Sn with n even and not equal to 4.