no. 7-8
Differential Geometry
On the uniqueness of almost-Kähler structures
Presented by: Jean-Pierre Demailly
di Scala, Antonio J.1; Nagy, Paul-Andi2
1Dipartimento di Matematica, Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy
2Department 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

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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di Scala, Antonio J.; Nagy, Paul-Andi. 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] 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

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.