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arXiv · 2506.16305

A remark for fully non-linear elliptic equations on compact almost Hermitian manifolds

Liding Huang
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Abstract

In this paper, we generalize the definition of sub-slope, introduced by Guo-Song, to almost Hermitian manifolds and prove the existence of solutions for a general class of fully non-linear equations on compact almost Hermitian manifolds. As an application, we solve the complex Hessian quotient equation and the deformed Hermitian-Yang-Mills equation in the almost Hermitian setting.

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Liding Huang. 2025-06-19. A remark for fully non-linear elliptic equations on compact almost Hermitian manifolds. https://arxiv.org/abs/2506.16305

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