Computer-assisted construction yields a 2-parameter family of new triaxial SU(2)-invariant complete negative Einstein metrics on O(-4) over CP1 that are conformally compact.
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Proves existence of an SO(3)×SO(8)-invariant Einstein metric with positive scalar curvature on S³×S⁷.
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Computer-assisted construction of $SU(2)$-invariant negative Einstein metrics
Computer-assisted construction yields a 2-parameter family of new triaxial SU(2)-invariant complete negative Einstein metrics on O(-4) over CP1 that are conformally compact.