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.
Accepted:
Published online:
Antonio J. di Scala 1; Paul-Andi Nagy 2
@article{CRMATH_2010__348_7-8_423_0, author = {Antonio J. di Scala and Paul-Andi Nagy}, title = {On the uniqueness of {almost-K\"ahler} structures}, journal = {Comptes Rendus. Math\'ematique}, pages = {423--425}, publisher = {Elsevier}, volume = {348}, number = {7-8}, year = {2010}, doi = {10.1016/j.crma.2010.01.005}, language = {en}, }
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. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2010.01.005/
[1] 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] 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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