Prescribing symmetric functions of the eigenvalues of the Ricci tensor

被引：60

作者：

Gursky, Matthew J. ^{[1
]}

Viaclovsky, Jeff A. ^{[2
]}

机构：

[1] Univ Notre Dame, Notre Dame, IN 46556 USA

[2] MIT, Cambridge, MA 02139 USA

来源：

ANNALS OF MATHEMATICS | 2007年 / 166卷 / 02期

关键词：

D O I：

10.4007/annals.2007.166.475

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the problem of conformally deforming a metric to a prescribed symmetric function of the eigenvalues of the Ricci tensor. We prove an existence theorem for a wide class of symmetric functions on manifolds with positive Ricci curvature, provided the conformal class admits an admissible metric.

引用

页码：475 / 531

页数：57

共 41 条

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