Equivariant deformations of LeBrun's self-dual metrics with torus action

Nobuhiro Honda

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)


We investigate U(1)-equivariant deformations of C. LeBrun's selfdual metric with torus action. We explicitly determine all U(1)-subgroups of the torus for which one can obtain U(1)-equivariant deformations that do not preserve the whole of the torus action. This gives many new self-dual metrics with U(1)-action which are not conformally isometric to LeBrun metrics. We also count the dimension of the moduli space of self-dual metrics with U(1)- action obtained in this way.

Original languageEnglish
Pages (from-to)495-505
Number of pages11
JournalProceedings of the American Mathematical Society
Issue number2
Publication statusPublished - 2007 Feb


  • Self-dual metric
  • Twistor space

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics


Dive into the research topics of 'Equivariant deformations of LeBrun's self-dual metrics with torus action'. Together they form a unique fingerprint.

Cite this