Mabuchi and Aubin-Yau functionals over complex three-folds

Abstract

In this paper we construct Mabuchi ${\mathcal{L}}_{\omega }^{\mathrm{M}}$ functional and Aubin-Yau functionals ${\mathcal{I}}_{\omega }^{\mathrm{AY}},{\mathcal{J}}_{\omega }^{\mathrm{AY}}$ 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}.

24 pages

References in corpus (1)

• Mabuchi and Aubin-Yau functionals over complex surfaces

Cited by in corpus (1)

• Mabuchi and Aubin-Yau functionals over complex manifolds