Special isoparametric orbits in Riemannian symmetric spaces
The author treats principal orbits \(M\) of isotropy subgroups in Riemannian symmetric spaces of compact and non-compact type and shows that these \(M\) are isoparametric submanifolds. Further, he shows that, except in some special cases, the eigenspace distributions of the shape operator with respect to the radial unit vector field are involutive and their integral submanifolds are totally geodesic in \(M\). Finally, it is also shown that these isoparametric submanifolds are curvature-adapted submanifolds.
scientific article; zbMATH DE number 806238
scientific article