@Article{JMS-57-3, author = {Yuan, Rirong}, title = {Notes on Conformal Metrics of Negative Curvature on Manifolds with Boundary}, journal = {Journal of Mathematical Study}, year = {2024}, volume = {57}, number = {3}, pages = {373--378}, 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.

}, issn = {2617-8702}, doi = {https://doi.org/10.4208/jms.v57n3.24.08}, url = {https://global-sci.com/article/91455/notes-on-conformal-metrics-of-negative-curvature-on-manifolds-with-boundary} }