Isoparametric foliations, a problem of Eells–Lemaire and conjectures of Leung
Isoparametric foliations, a problem of Eells–Lemaire and conjectures of Leung
In this paper, two sequences of minimal isoparametric hypersurfaces are constructed via representations of Clifford algebras. Based on these, we give estimates on eigenvalues of the Laplacian of the focal submanifolds of isoparametric hypersurfaces in unit spheres. This improves results of [TY13] and [TXY14]. Eells and Lemaire [EL83] posed a …