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arXiv · 2101.00380

Monge-Amp\`{e}re type equations on almost Hermitian manifolds

Jiaogen Zhang
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Abstract

In this paper, we consider the Monge-Amp\`{e}re type equations on compact almost Hermitian manifolds. We derive $C^{\infty}$ a priori estimates under the existence of an admissible $\mathcal{C}$-subsolution. Finally, we obtain an existence result if there exists an admissible supersolution.

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Jiaogen Zhang. 2021-01-02. Monge-Amp\`{e}re type equations on almost Hermitian manifolds. https://doi.org/10.1007/s10114-022-0394-1

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