The classification and curvature of biquotients of the form $Sp(3)//Sp(1)^2$

Abstract

We show there are precisely 15 inhomogeneous biquotients of the form $Sp(3)// Sp(1)^2$ and show that at least 8 of them admit metrics of quasi-positive curvature.Comment: Final version. To appear in Ann. Glob. Anal. and Ge