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T^2-invariant Einstein metrics on closed 4-manifolds
We construct $T^2$-invariant Einstein metrics with positive Ricci curvature on #_m(S^2 x S^2) for every integer $m>1$. These provide infinite family of Einstein metrics on closed $4$-manifolds with $λ>0$, which are in addition not Hermitian. We further establish the uniqueness of the $T^2$-invariant
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