Mabuchi and Aubin-Yau functionals over complex three-folds

Yi Li

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.…