Special cohomogeneity one isometric actions on irreducible symmetric spaces of types I and II.
Shape operators of orbits of isotropy subgroups in Riemannian symmetric spaces of the compact type.
Harmonic and Minimal Unit Vector Fields on the Symmetric Spaces and
The exceptional compact symmetric spaces and admit cohomogeneity one isometric actions with two totally geodesic singular orbits. These singular orbits are not reflective submanifolds of the ambient spaces. We prove that the radial unit vector fields associated to these isometric actions are harmonic and minimal.
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