Ken Wang

activity

20232025

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math.DG2025

Energy functionals on almost Kähler manifolds: I

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…

math.DG2025

On the $D_{J}^{+}$ operator on higher-dimensional almost Kähler manifolds

Qiang Tan, Hongyu Wang, Ken Wang +1

In this paper, we introduce $D_{J}^{+}$ , a generalization of $\partial \partial ˉ$ operator on higher dimensional almost Kähler manifolds. Using the $D_{J}^{+}$ oper…

math.DG2024

On a generalized Monge-Ampère equation on closed almost Kähler surfaces

Ken Wang, Zuyi Zhang, Tao Zheng +1

We show the existence and uniqueness of solutions to a generalized Monge-Ampère equation on closed almost Kähler surfaces, where the equation depends only on the underlying almost…

math.DG2023

On closed almost complex four manifolds

Hongyu Wang, Ken Wang, Peng Zhu

In this paper, by using weakly \widetilde{\mathcal{D}}^+_J (resp. \mathcal{D}^+_J )-closed technique firstly introduced by Tan, Wang, Zhou and Zhu, we will give a characterization…

Energy functionals on almost Kähler manifolds: I

On the DJ+​ operator on higher-dimensional almost Kähler manifolds

On a generalized Monge-Ampère equation on closed almost Kähler surfaces

On closed almost complex four manifolds

On the $D_{J}^{+}$ operator on higher-dimensional almost Kähler manifolds