An extension of prescribed problems on the conformal classes of complete metrics
Differential Geometry
2023-07-11 v2 Analysis of PDEs
Abstract
We solve prescribed problems for modified Schouten tensors in the conformal classes of smooth complete metrics, which extends the results obtained in prequel \cite{yuan-PUE1}. The key ingredient is to confirm the uniform ellipticity of operators under an assumption, which is sharp as shown by obstructions from topology and function theory.
Keywords
Cite
@article{arxiv.2304.12835,
title = {An extension of prescribed problems on the conformal classes of complete metrics},
author = {Rirong Yuan},
journal= {arXiv preprint arXiv:2304.12835},
year = {2023}
}
Comments
Sections 4 and 5 added, Typos fixed, References updated