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.

Final version. To appear in Ann. Glob. Anal. and Geo

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