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math.DG2014
Conformal classes realizing the Yamabe invariant
Heather Macbeth
We give a characterization of conformal classes realizing a compact manifold's Yamabe invariant. This characterization is the analogue of an observation of Nadirashvili for metrics…
math.DG2014★ 1 cited
Kähler-Einstein metrics and higher alpha-invariants
Heather Macbeth
We give a criterion for the existence of a Kähler-Einstein metric on a Fano manifold in terms of the higher algebraic alpha-invariants .