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.
El Soufi,Applications harmoniques, immersions minimales et transformations conformes de la sph` ere, Compositio Math.85(1993), no
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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.