An integral equation in conformal geometry
Analysis of PDEs
2007-05-23 v1 Differential Geometry
Abstract
We study the existence of a metric with zero scalar curvature maximizing the isoperimetric ratio among all zero scalar curvature metrics in a fixed conformal class of metrics on a compact manifold with boundary. The question may be reduced to an extremal problem for the harmonic extension of functions and the related nonlinear integral equation is discussed.
Cite
@article{arxiv.math/0703821,
title = {An integral equation in conformal geometry},
author = {Fengbo Hang and Xiaodong Wang and Xiaodong Yan},
journal= {arXiv preprint arXiv:math/0703821},
year = {2007}
}
Comments
23 pages