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 |
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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