Abstract
We show that, on the connected sum of complex projective planes, any toric LeBrun metric can be identified with a Joyce metric admitting a semi-free circle action through an explicit conformal equivalence. A crucial ingredient of the proof is an explicit connection form for toric LeBrun metrics.
| Original language | English |
|---|---|
| Pages (from-to) | 2923-2934 |
| Number of pages | 12 |
| Journal | Geometry and Topology |
| Volume | 17 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - 2013 Oct 16 |
| Externally published | Yes |
Keywords
- Toric self-dual metrics
ASJC Scopus subject areas
- Geometry and Topology