In this article we investigate deformations of a scalar-flat Kähler metric on the total space of complex line bundles over ℂℙ1 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.
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics