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arxiv: 1206.0912 · v1 · pith:UMNMX3WZnew · submitted 2012-06-05 · 🧮 math.DG

Complex deformation of critical K\"ahler metrics

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keywords complexdeformationahlerdiscussmetricscaseconstantcritical
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In this paper, we use Pacard-Xu's methods to discuss the complex deformation of constant scalar curvature metrics in the case of fixed and varying complex structures. Moreover, we also discuss the complex deformation of K\"ahler Ricci solitons.

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