On the min-max width of unit volume three-spheres
Differential Geometry
2018-10-25 v2
Abstract
How large can be the width of Riemannian three-spheres of the same volume in the same conformal class? If a maximum value is attained, how does a maximising metric look like? What happens as the conformal class changes? In this paper, we investigate these and other related questions, focusing on the context of Simon-Smith min-max theory.
Keywords
Cite
@article{arxiv.1809.03638,
title = {On the min-max width of unit volume three-spheres},
author = {Lucas Ambrozio and Rafael Montezuma},
journal= {arXiv preprint arXiv:1809.03638},
year = {2018}
}
Comments
30 pages. Added word in title for the sake of clarity. Minor typo corrected, a reference added. Submitted