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June 10, 2010 Afternoon reading

..we show that the Reeb distribution on a spherical space form which
admits a 3-Sasakian structure minimizes the corrected energy.
Analogously for the characteristic distribution of the normal
complex contact structure on the complex projective space $\mathbb
{C}P^{2m+1}$ induced via the Hopf fibration $S^{1}\hookrightarrow S^
{4m+3}\to \mathbb{C}P^{2m+1}$.
This last result is a consequence of a more general result on the
corrected energy of the characteristic distribution of a compact
twistor space over a quaternionic-Kähler manifold with positive
scalar curvature (equipped with a normal complex contact metric
structure).

Last modified:2010-06-10