Homogeneous Codimension One Foliations on Noncompact Symmetric Spaces

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Cohomogeneity one actions on noncompact symmetric spaces of rank one (2005, unknown): “In [4] it was shown that there exist only two such actions without a singular orbit.”
The space of left-invariant metrics on a Lie group up to isometry and scaling (2011, background): “To show this, it is enough to find an orbit H. p of codimension one (note that some of these actions can be found in [ 2 ], but we will not use this).”
Contact hypersurfaces in Kähler manifolds (2015, unknown): “On irreducible simply connected symmetric spaces such actions were classified by Kollross in [10] for the compact case and investigated thoroughly by the author and Tamaru in [5], [6], [7] and [8] for the noncompact case.”