no. 7-8
Differential Geometry
On the uniqueness of almost-Kähler structures
[Sur l'unicité de structures presque Kähleriennes]

Présenté par : Jean-Pierre Demailly

di Scala, Antonio J.1 ; Nagy, Paul-Andi2
1 Dipartimento di Matematica, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy
2 Department of Mathematics, University of Auckland, 38 Princes St., Auckland, New Zealand
Comptes Rendus. Mathématique, Tome 348 (2010) no. 7-8, pp. 423-425.

On montre l'unicité au signe près de structures presque kähleriennes orthogonales positives sur toute surface de Kähler–Einstein de courbure scalaire non-nulle.

We show uniqueness up to sign of positive, orthogonal almost-Kähler structures on any non-scalar flat Kähler–Einstein surface.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2010.01.005
di Scala, Antonio J. 1 ; Nagy, Paul-Andi 2

1 Dipartimento di Matematica, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy
2 Department of Mathematics, University of Auckland, 38 Princes St., Auckland, New Zealand 
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     title = {On the uniqueness of {almost-K\"ahler} structures},
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di Scala, Antonio J.; Nagy, Paul-Andi. On the uniqueness of almost-Kähler structures. Comptes Rendus. Mathématique, Tome 348 (2010) no. 7-8, pp. 423-425. doi : 10.1016/j.crma.2010.01.005. http://www.numdam.org/articles/10.1016/j.crma.2010.01.005/

[1] Apostolov, V.; Drăghici, T. The curvature and the integrability of almost-Kähler manifolds: A survey, Toronto, ON/Montréal, QC, 2001 (Fields Inst. Commun.), Volume vol. 35, Amer. Math. Soc., Providence, RI (2003), pp. 25-53

[2] Armstrong, J. An ansatz for almost-Kähler, Einstein 4-manifolds, J. Reine Angew. Math., Volume 542 (2002), pp. 53-84

Cité par Sources :

☆ Partially supported by GNSAGA of INdAM, PRIN 2007 of MIUR (Italy), and the Royal Society of New Zealand, Marsden grant No. 06-UOA-029.