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This is a continuation of Tang and Yan, which investigated the firsteigenvalues of minimal isoparametric hypersurfaces with $g=4$ distinctprincipal curvatures and focal submanifolds in unit spheres. For the focalsubmanifolds with $g=6$, the present paper obtains estimates on all theeigenvalues, among others, giving an affirmative answer in one case to theproblem posed in Tang and Yan, which may be regarded as a generalization ofYau's conjecture. In two of the four unsettled cases in Tang and Yan for focalsubmanifolds $M_1$ of OT-FKM-type, we prove the first eigenvalues to be theirdimensions, respectively.

Isoparametric foliation and Yau conjecture on the first eigenvalue, II