@article {Boyer:March 2002:0232-704X:85,
	author = "Boyer C.P.",
	author = "Galicki K.",
	author = "Piccinni P.",
	title = "3-Sasakian Geometry, Nilpotent Orbits, and Exceptional Quotients",
	journal = "Annals of Global Analysis and Geometry",
	volume = "21",
	year = "March 2002",
	abstract = "<P>Using 3-Sasakian reduction techniques we obtain infinite families of new 3-Sasakian manifolds M (p_1, p_2, p_3) and M (p_1, p_2, p_3, p_4) in dimension 11 and 15 respectively. The metric cone on (p_1, p_2, p_3) is a generalization of the Kronheimer hyperk&auml;hler metric on the regular maximal nilpotent orbit of sl (3, C) whereas the cone on M (p_1, p_2, p_3, p_4) generalizes the hyperk&auml;hler metric on the 16-dimensional orbit of so(6, C). These are the first examples of 3-Sasakian metrics which are neither homogeneous nor toric. In addition we consider some further U(1)-reductions of M(p_1, p_2, p_3). These yield examples of nontoric 3-Sasakian orbifold metrics in dimensions 7. As a result we obtain explicit families O(<IMG SRC="/iso-ents/isogrk32/theta-c.gif" ALT="Theta">} of compact self-dual positive scalar curvature Einstein metrics with orbifold singularities and with only one Killing vector field.</P>",
	pages = "85-110(26)",
	url = "http://www.ingentaconnect.com/content/klu/agag/2002/00000021/00000001/00352386"
}