Mabuchi and Aubin-Yau functionals over complex surfaces

Yi Li

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arXiv · 1002.3411

Mabuchi and Aubin-Yau functionals over complex surfaces

Yi Li

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Abstract

In this note 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 surfaces, and establish a number of properties. Our construction coincides with the original one in the Kähler case.

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BibTeX RIS

Yi Li. 2010-03-30. Mabuchi and Aubin-Yau functionals over complex surfaces. https://arxiv.org/abs/1002.3411

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