Geometric inequalities on locally conformally flat manifolds
Differential Geometry
2007-05-23 v2
Abstract
Through the study of some elliptic and parabolic fully nonlinear PDEs, we establish conformal versions of quermassintegral inequality, the Sobolev inequality and the Moser-Trudinger inequality for the geometric quantities associated to the Schouten tensor on locally conformally flat manifolds.
Cite
@article{arxiv.math/0302343,
title = {Geometric inequalities on locally conformally flat manifolds},
author = {Pengfei Guan and Guofang Wang},
journal= {arXiv preprint arXiv:math/0302343},
year = {2007}
}
Comments
30 pages. Final version, accepted by Duke Math. J