most citedAn obstruction to the existence of constant scalar curvature Kähler metrics

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math.DG2004★ 14 cited

An obstruction to the existence of constant scalar curvature Kähler metrics

J. Ross, R. P. Thomas

We prove that polarised manifolds that admit a constant scalar curvature Kähler (cscK) metric satisfy a condition we call slope semistability. That is, we define the slope for…