In the setting of K\"ahler geometry, a necessary condition for the existence of a k\"ahlerian metric of constant scalar curvature is vanishing of the so-called Futaki invariant. (cf. Futaki On compact Kähler manifolds of constant scalar curvatures).
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In the setting of K\"ahler geometry, a necessary condition for the existence of a k\"ahlerian metric constant scalar curvature is vanishing of the so-called Futaki invariant. |
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