PLANAR NORMAL SECTIONS OF FOCAL MANIFOLDS OF ISOPARAMETRIC HYPERSURFACES IN SPHERES

SANCHEZ, CRISTIAN URBANO

REVISTA DE LA UNIóN MATEMáTICA ARGENTINA

UNION MATEMATICA ARGENTINA

Lugar: Bahia Blanca; Año: 2015 vol. 56 p. 119 - 133

0041-6932

The present paper contains some results about the algebraic setsof planar normal sections associated to the focal manifolds of homogeneousisoparametric hypersurfaces in spheres. With the usual identication of thetangent spaces to the focal manifold with subspaces of the tangent spacesto the isoparametric hypersurface, it is proven that the algebraic set of planarnormal sections of the focal manifold is contained in that of the originalhypersurface.