Deformation of LeBrun's ALE metrics with negative mass
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🧮 math.DG
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complexdeformationlebrunmetricmetricsahlerarticlebundles
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In this article we investigate deformations of a scalar-flat K\"ahler metric on the total space of complex line bundles over CP^1 constructed by C. LeBrun. In particular, we find that the metric is included in a one-dimensional family of such metrics on the four-manifold, where the complex structure in the deformation is not the standard one.
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