Deformation of LeBrun's ALE Metrics with Negative Mass

Nobuhiro Honda

Research output: Contribution to journalArticlepeer-review

8 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)127-148
Number of pages22
JournalCommunications in Mathematical Physics
Issue number1
Publication statusPublished - 2013 Aug
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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