Existence of complete conformal metrics on $\mathbb{R}^n$ with prescribed Q-curvature
Differential Geometry
2025-04-01 v1 Analysis of PDEs
Abstract
Given a smooth function on which is positive somewhere and satisfies for any , we show that there exists a complete and conformal metric with finite total Q-curvature such that its Q-curvature equals to .
Cite
@article{arxiv.2503.23689,
title = {Existence of complete conformal metrics on $\mathbb{R}^n$ with prescribed Q-curvature},
author = {Mingxiang Li and Biao Ma},
journal= {arXiv preprint arXiv:2503.23689},
year = {2025}
}
Comments
14 pages