Geometric inequalities on locally conformally flat manifolds

被引：55

作者：

Guan, PF ^{[1
]}

Wang, GF

机构：

[1] McGill Univ, Dept Math, Montreal, PQ H3A 2K6, Canada

[2] Max Planck Inst Math Sci, D-04103 Leipzig, Germany

来源：

DUKE MATHEMATICAL JOURNAL | 2004年 / 124卷 / 01期

关键词：

D O I：

10.1215/S0012-7094-04-12416-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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

引用

页码：177 / 212

页数：36

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