Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1895828 | Journal of Geometry and Physics | 2013 | 14 Pages |
Abstract
We consider a gradient flow associated to the mean field equation on (M,g)(M,g), a compact Riemannian surface without boundary. We prove that this flow exists for all time. Moreover, letting GG be a group of isometry acting on (M,g)(M,g), we obtain the convergence of the flow to a solution of the mean field equation under suitable hypothesis on the orbits of points of MM under the action of GG.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Jean-baptiste Castéras,