no. 5

On a generalized Calabi-Yau equation  [ Sur l’équation de Calabi-Yau généralisée ]
Annales de l'Institut Fourier, Tome 60 (2010) no. 5, pp. 1595-1615.

En travaillant sur l’équation de Calabi-Yau généralisée proposée par Gromov pour des variétés presque-Kalhériennes fermées, nous étendons le résultat de la non-existence prouvé en dimension complexe 2, à des dimensions arbitraires.

Dealing with the generalized Calabi-Yau equation proposed by Gromov on closed almost-Kähler manifolds, we extend to arbitrary dimension a non-existence result proved in complex dimension 2.

Reçu le : 2009-01-03
Révisé le : 2009-06-28
Accepté le : 2009-09-20
DOI : https://doi.org/10.5802/aif.2566
Classification : 53C07,  53D05,  58J99
Mots clés : équation de Calabi-Yau, forme symplectique, structur presque complexe, métrique Hermitienne, tenseur de Nijenhuis, fonction speudo holomorphe 
@article{AIF_2010__60_5_1595_0,
     author = {Wang, Hongyu and Zhu, Peng},
     title = {On a generalized Calabi-Yau equation},
     journal = {Annales de l'Institut Fourier},
     pages = {1595--1615},
     publisher = {Association des Annales de l'institut Fourier},
     volume = {60},
     number = {5},
     year = {2010},
     doi = {10.5802/aif.2566},
     mrnumber = {2766224},
     zbl = {1228.53090},
     language = {en},
     url = {aif.centre-mersenne.org/item/AIF_2010__60_5_1595_0/}
}
Wang, Hongyu; Zhu, Peng. On a generalized Calabi-Yau equation. Annales de l'Institut Fourier, Tome 60 (2010) no. 5, pp. 1595-1615. doi : 10.5802/aif.2566. https://aif.centre-mersenne.org/item/AIF_2010__60_5_1595_0/

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