2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/69580We solve the problem raised by Hsiang, Palais and Terng in [The topology of isoparametric submanifolds, JDG, 27(1988), 423-460]: Is it possible to have an isoparametric foliation on R^{52} whose marked Dynkin giagram is of type D_4 and with all multiplicities uniformly equal to 4?10 pagesDifferential GeometryAlgebraic Topology53C42 (14M15; 57R20)A Problem of Hsiang-Palais-Terng on isoparametric submanifoldstext