Deformation of LeBrun's ALE metrics with negative mass

Details Deformation of LeBrun's ALE metrics with negative mass Deformation of LeBrun's ALE metrics with negative mass

2012-04-22

arxiv.org/abs/1204.4857v1

Mathematics

Differential Geometry

20 pages, no figure

Scientific paper

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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