On Fully Nonlinear Loewner-Nirenberg Problem of Ricci curvature

Zhenan Sui

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arXiv · 2306.14139

On Fully Nonlinear Loewner-Nirenberg Problem of Ricci curvature

Zhenan Sui

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Abstract

We prove the existence of a smooth complete conformal metric with prescribed kth elementary symmetric function of negative Ricci curvature under certain condition on general domain in Euclidean space. We then formulate this problem for more general equations.

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BibTeX RIS

Zhenan Sui. 2023-06-25. On Fully Nonlinear Loewner-Nirenberg Problem of Ricci curvature. https://arxiv.org/abs/2306.14139

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