Comptes Rendus
no. 7-8
Differential Geometry
On the uniqueness of almost-Kähler structures
Presented by: Jean-Pierre Demailly
Antonio J. di Scala1; Paul-Andi Nagy2
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, Volume 348 (2010) no. 7-8, pp. 423-425

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

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

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2010.01.005

Antonio J. di Scala 1; Paul-Andi Nagy 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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Antonio J. di Scala; Paul-Andi Nagy. On the uniqueness of almost-Kähler structures. Comptes Rendus. Mathématique, Volume 348 (2010) no. 7-8, pp. 423-425. doi: 10.1016/j.crma.2010.01.005

[1] V. Apostolov; T. Drăghici 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] J. Armstrong An ansatz for almost-Kähler, Einstein 4-manifolds, J. Reine Angew. Math., Volume 542 (2002), pp. 53-84

Cited by 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.

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