MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV ( that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint

Geometric inequalities on locally conformally flat manifolds

Pengfei Guan and Guofang Wang


Through the study of some elliptic and parabolic fully nonlinear PDEs, we establish conformal versions of the quermassintegral inequality, the Sobolev inequality and the Moser-Trudinger inequality for the geometric quantities associated to the Schouten tensor on locally conformally flat manifolds.

MSC Codes:
53C21, 35J60, 58E11
sobolev inequality, quermassintegral inequality, moser-trudinger inequality, schouten tensor, fully nonlinear equation, conformal geometry

Related publications

2004 Repository Open Access
Pengfei Guan and Guofang Wang

Geometric inequalities on locally conformally flat manifolds

In: Duke mathematical journal, 124 (2004) 1, pp. 177-212