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.
Citation
Nobuhiro Honda. Jeff Viaclovsky. "Toric LeBrun metrics and Joyce metrics." Geom. Topol. 17 (5) 2923 - 2934, 2013. https://doi.org/10.2140/gt.2013.17.2923
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