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

Nobuhiro Honda

研究成果: Article査読

3 被引用数 (Scopus)

抄録

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.

本文言語English
ページ(範囲)495-505
ページ数11
ジャーナルProceedings of the American Mathematical Society
135
2
DOI
出版ステータスPublished - 2007 2

ASJC Scopus subject areas

  • 数学 (全般)
  • 応用数学

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