Resumen de Projective spaces in the algebraic sets of planar normal sections of homogeneous isoparametric submanifolds

Ana M. Giunta, Cristián Sánchez

• The present paper is devoted to studying the algebraic sets of planar normal sections of homogeneous isoparametric submanifolds. The main objective is to describe the presence of real projective spaces in these algebraic sets. This indicates an important connection between homogeneous isoparametric submanifolds and the family of symmetric spaces of the corresponding group.