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.
Accepté le :
Publié le :
@article{CRMATH_2010__348_7-8_423_0, author = {di Scala, Antonio J. and Nagy, Paul-Andi}, 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}, url = {http://archive.numdam.org/articles/10.1016/j.crma.2010.01.005/} }
TY - JOUR AU - di Scala, Antonio J. AU - Nagy, Paul-Andi TI - On the uniqueness of almost-Kähler structures JO - Comptes Rendus. Mathématique PY - 2010 SP - 423 EP - 425 VL - 348 IS - 7-8 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2010.01.005/ DO - 10.1016/j.crma.2010.01.005 LA - en ID - CRMATH_2010__348_7-8_423_0 ER -
%0 Journal Article %A di Scala, Antonio J. %A Nagy, Paul-Andi %T On the uniqueness of almost-Kähler structures %J Comptes Rendus. Mathématique %D 2010 %P 423-425 %V 348 %N 7-8 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.crma.2010.01.005/ %R 10.1016/j.crma.2010.01.005 %G en %F CRMATH_2010__348_7-8_423_0
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://archive.numdam.org/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
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.