Corrected energy of the Reeb distribution of a 3-Sasakian manifold (Q953929)

In the paper under review, the author shows that the Reeb distribution on a spherical space form which admits a 3-Sasakian structure minimizes the corrected energy in the set of all integrable \(3\)-dimensional distributions. He also shows that the characteristic distribution of a compact twistor space over a quaternionic-Kähler manifold with positive scalar curvature is a minimum for the corrected energy in the set of all integrable 2-dimensional distributions \(\nu \) with curvature \(K(\nu )\leq 4\).