On a generalized Calabi-Yau equation
Annales de l'Institut Fourier, Volume 60 (2010) no. 5, pp. 1595-1615.

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.

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.

DOI: 10.5802/aif.2566
Classification: 53C07, 53D05, 58J99
Keywords: Calabi-Yau equation, symplectic form, almost complex structure, Hermitian metric, Nijenhuis tensor, pseudo holomorphic function
Mot clés : équation de Calabi-Yau, forme symplectique, structur presque complexe, métrique Hermitienne, tenseur de Nijenhuis, fonction speudo holomorphe

Wang, Hongyu 1; Zhu, Peng 2

1 Yangzhou University School of Mathematical Science Yangzhou, Jiangsu 225002 (P. R. China)
2 School of Mathematical Science, Yangzhou University, Yangzhou, Jiangsu 225002, (P. R. China)
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Wang, Hongyu; Zhu, Peng. On a generalized Calabi-Yau equation. Annales de l'Institut Fourier, Volume 60 (2010) no. 5, pp. 1595-1615. doi : 10.5802/aif.2566. https://aif.centre-mersenne.org/articles/10.5802/aif.2566/

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