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arXiv · 1003.5307

Mabuchi and Aubin-Yau functionals over complex three-folds

Yi Li
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Abstract

In this paper we construct Mabuchi $\mathcal{L}^{\rm M}_ω$ functional and Aubin-Yau functionals $\mathcal{I}^{\rm AY}_ω, \mathcal{J}^{\rm AY}_ω$ on any compact complex three-folds. The method presented here will be used in the forthcoming paper \cite{L1} on the construction of those functionals on any compact complex manifolds, which generalizes the previous work \cite{L}.

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Yi Li. 2010-03-27. Mabuchi and Aubin-Yau functionals over complex three-folds. https://arxiv.org/abs/1003.5307

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