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arXiv · 2109.12566

Fully non-linear elliptic equations on compact almost Hermitian manifolds

Jianchun Chu·Liding Huang·Jiaogen Zhang
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Abstract

In this paper, we establish a priori estimates for solutions of a general class of fully non-linear equations on compact almost Hermitian manifolds. As an application, we solve the complex Hessian equation and the Monge--Amp\`ere equation for $(n-1)$-plurisubharmonic equations in the almost Hermitian setting.

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Jianchun Chu, Liding Huang, Jiaogen Zhang. 2021-09-26. Fully non-linear elliptic equations on compact almost Hermitian manifolds. https://arxiv.org/abs/2109.12566

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