Notes on conformal metrics of negative curvature on manifolds with boundary
Differential Geometry
2023-08-14 v1
Abstract
We use certain Morse functions to construct conformal metrics such that the eigenvalue vector of modified Schouten tensor belongs to a given cone. As a result, we prove that any Riemannian metric on compact 3-manifolds with boundary is conformal to a compact metric of negative sectional curvature.
Keywords
Cite
@article{arxiv.2308.05979,
title = {Notes on conformal metrics of negative curvature on manifolds with boundary},
author = {Rirong Yuan},
journal= {arXiv preprint arXiv:2308.05979},
year = {2023}
}