From isoparametric submanifolds to polar foliations
Actually the topic `isoparametric submanifolds to polar foliations' is very modern in this era for resercher. Theorem 4.2 is ver usefull in the GRW-spacetime. Also In the case when the section is equivariantly difeomorphic to a sphere with a Coxeter group action and when this Coxeter group is irreducible It was shown by \textit{A. Lytchak} [Geom. Funct. Anal. 24, No. 4, 1298--1315 (2014; Zbl 1311.53025)] that polar foliations with codimension at least three on compact symmetric spaces of rank at least two have fat sections. The codimension two case is unknown except for orbit foliations. Codimension-one foliations on such spaces have not been studied. Moreover the result are very excellent and meaningfull for geometry and consomology.
scientific article; zbMATH DE number 7595679
scientific article