Resumen de Planar normal sections of focal manifolds of isoparametric hypersurfaces in spheres

Cristián U. Sánchez

• The present paper contains some results about the algebraic sets of planar normal sections associated to the focal manifolds of homogeneous isoparametric hypersurfaces in spheres. With the usual identification of the tangent spaces to the focal manifold with subspaces of the tangent spaces to the isoparametric hypersurface, it is proven that the algebraic set of planar normal sections of the focal manifold is contained in that of the original hypersurface.