Dual leaves of polar actions on simply connected complete nonnegatively curved manifolds are totally geodesic and closed, themselves polar and nonnegatively curved, inducing a Riemannian submersion to a homogeneous space.
Bergmann, Reducible polar representations, Manuscripta Math.,104, no
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The dual foliation of polar actions on nonnegatively curved manifolds
Dual leaves of polar actions on simply connected complete nonnegatively curved manifolds are totally geodesic and closed, themselves polar and nonnegatively curved, inducing a Riemannian submersion to a homogeneous space.