Prescribing Chern scalar curvatures on noncompact manifolds
Differential Geometry
2023-04-28 v1 Analysis of PDEs
Abstract
In this paper, we investigate the noncompact prescribed Chern scalar curvature problem which reduces to solve a Kazdan-Warner type equation on noncompact non-K\"{a}hler manifolds. By introducing an analytic condition on noncompact manifolds, we establish related existence results. As its another application, we further give a new proof of a classical multiplicity theorem of W.M. Ni.
Keywords
Cite
@article{arxiv.2304.13975,
title = {Prescribing Chern scalar curvatures on noncompact manifolds},
author = {Di Wu and Xi Zhang},
journal= {arXiv preprint arXiv:2304.13975},
year = {2023}
}