| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4604782 | Annales de l'Institut Henri Poincare (C) Non Linear Analysis | 2009 | 21 Pages |
Abstract
Motivated by Carleman's proof of the isoperimetric inequality in the plane, we study the problem of finding a metric with zero scalar curvature maximizing the isoperimetric ratio among all zero scalar curvature metrics in a fixed conformal class on a compact manifold with boundary. We derive a criterion for the existence and make a related conjecture.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
