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arXiv · 2405.10771

Fully nonlinear elliptic equations for some prescribed curvature problems on Hermitian manifolds

Rirong Yuan
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Abstract

We study fully nonlinear elliptic equations on Hermitian manifolds through blow-up argument and partial uniform ellipticity. We apply our results to draw geometric conclusions on finding conformal Hermitian metrics with prescribed Chern-Ricci curvature functions. By some obstruction from geometric function theory, our assumptions are almost sharp.

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Rirong Yuan. 2024-05-17. Fully nonlinear elliptic equations for some prescribed curvature problems on Hermitian manifolds. https://arxiv.org/abs/2405.10771

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