The prescribed cross curvature problem on the three-sphere
Differential Geometry
2023-05-29 v1
Abstract
The paper studies the problem of prescribing positive cross curvature on the three-dimensional sphere. We produce several existence results and an example of non-uniqueness, disproving a conjecture of Hamilton's.
Keywords
Cite
@article{arxiv.2107.13246,
title = {The prescribed cross curvature problem on the three-sphere},
author = {Timothy Buttsworth and Artem Pulemotov},
journal= {arXiv preprint arXiv:2107.13246},
year = {2023}
}
Comments
39 pages, 1 figure