Geometric inequalities on locally conformally flat manifolds

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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.
30 pages. Final version, accepted by Duke Math. J

Keywords

Differential Geometry

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/66647

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0302343
 http://arxiv.org/abs/math/0302343

Collections

arXiv