On Fully Nonlinear Loewner-Nirenberg Problem of Ricci curvature
Differential Geometry
2024-12-24 v3
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.
Keywords
Cite
@article{arxiv.2306.14139,
title = {On Fully Nonlinear Loewner-Nirenberg Problem of Ricci curvature},
author = {Zhenan Sui},
journal= {arXiv preprint arXiv:2306.14139},
year = {2024}
}