Variation de la L-norme de la 1-forme de torsion sur une variété hermitienne compacte |
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Authors: | Yachou Abderrahim |
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Institution: | Université des sciences et technologie, F-59655 Villeneuve d'Ascq, France |
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Abstract: | Let (M,g) be a complex compact hermitian manifold with dimension complex dimC = m ≥ 2, we study in this paper the critical points of the functional: in the set of the hermitian metrics with total volume equal to one, where θ is 1 — form of torsion of the Chern connexion and r is a real number such that 1 ≤ r ≤ m. We show that the critical points of this functional are exactly a semi-kählerian metric. |
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