Ken Wang, Zuyi Zhang, Jiuru Zhou
In this paper, we consider the Donaldson gauge functional and the twisted Aubin functionals on almost Kähler manifolds. As in Kähler geometry, we generalize the inequality between Aubin functionals.
This paper contains 4 sections, 11 theorems, 55 equations.
Theorem A1
For the twisted Aubin functionals defined on an almost Kähler manifold $(M^{2m},J,g,\omega)$, the following relations hold: for any $\phi\in \mathcal{H}(\omega,J)$, where $\mathcal{H}(\omega,J)$ is the space of almost Kähler potentials. In particular, the equality, in any of the above three inequalities, holds if and only if $\phi$ is constant.
