[Sur l’équation de Calabi-Yau généralisée]
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 .
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
@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{\textquoteright}institut Fourier},
volume = {60},
number = {5},
year = {2010},
doi = {10.5802/aif.2566},
zbl = {1228.53090},
mrnumber = {2766224},
language = {en},
url = {http://www.numdam.org/articles/10.5802/aif.2566/}
}
TY - JOUR AU - Wang, Hongyu AU - Zhu, Peng TI - On a generalized Calabi-Yau equation JO - Annales de l'Institut Fourier PY - 2010 SP - 1595 EP - 1615 VL - 60 IS - 5 PB - Association des Annales de l’institut Fourier UR - http://www.numdam.org/articles/10.5802/aif.2566/ DO - 10.5802/aif.2566 LA - en ID - AIF_2010__60_5_1595_0 ER -
%0 Journal Article %A Wang, Hongyu %A Zhu, Peng %T On a generalized Calabi-Yau equation %J Annales de l'Institut Fourier %D 2010 %P 1595-1615 %V 60 %N 5 %I Association des Annales de l’institut Fourier %U http://www.numdam.org/articles/10.5802/aif.2566/ %R 10.5802/aif.2566 %G en %F 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. http://www.numdam.org/articles/10.5802/aif.2566/
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