The index of the three orientable focal manifolds of isoparametric hypersurfaces in spheres with three principal curvatures equals the dimension of the ambient Euclidean space.
Li,Clifford systems, Cartan hypersurfaces and Riemannian submersions, J
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The index of cubic focal manifolds
The index of the three orientable focal manifolds of isoparametric hypersurfaces in spheres with three principal curvatures equals the dimension of the ambient Euclidean space.