Scalar flat Kähler metrics on affine bundles over CP1

Nobuhiro Honda

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)


We show that the total space of any affine C-bundle over CP1 with negative degree admits an ALE scalar-flat Kähler metric. Here the degree of an affine bundle means the negative of the self-intersection number of the section at infinity in a natural compactification of the bundle, and so for line bundles it agrees with the usual notion of the degree.

Original languageEnglish
Article number046
JournalSymmetry, Integrability and Geometry: Methods and Applications (SIGMA)
Publication statusPublished - 2014 Apr 19
Externally publishedYes


  • Affine bundle
  • Scalar-flat Kähler metric
  • Twistor space

ASJC Scopus subject areas

  • Analysis
  • Mathematical Physics
  • Geometry and Topology


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