Geodesic
Toric LeBrun metrics and Joyce metrics
Honda, Nobuhiro1 ; Viaclovsky, Jeff2
1 Mathematical Institute, Tohoku University, Sendai, Miyagi, 980-8578, Japan
2 Department of Mathematics, University of Wisconsin, Madison, WI 53706, United States
Geometry & topology, Tome 17 (2013) no. 5, pp. 2923-2934.

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

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.

DOI : 10.2140/gt.2013.17.2923
Classification : 53A30
Keywords: toric self-dual metrics

Honda, Nobuhiro 1 ; Viaclovsky, Jeff 2

1 Mathematical Institute, Tohoku University, Sendai, Miyagi, 980-8578, Japan
2 Department of Mathematics, University of Wisconsin, Madison, WI 53706, United States 
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Honda, Nobuhiro; Viaclovsky, Jeff. Toric LeBrun metrics and Joyce metrics. Geometry & topology, Tome 17 (2013) no. 5, pp. 2923-2934. doi : 10.2140/gt.2013.17.2923. http://geodesic.mathdoc.fr/articles/10.2140/gt.2013.17.2923/

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