Complete Conformal Metrics of Negative Ricci Curvature on Euclidean Spaces

被引：0
|
作者：
Zhenan Sui
机构：
[1] Ohio State University,
来源：
The Journal of Geometric Analysis | 2017年 / 27卷
关键词：
Complete conformal metrics; Ricci curvature; Supersolution; Subsolution; 53C21;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We show the existence and nonexistence results of complete conformal metrics with prescribed symmetric functions of the eigenvalues of the Ricci tensor defined on negative cones on Euclidean spaces. Our results are sharp under certain decay conditions of the prescribed curvature functions.
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页码：893 / 907
页数：14
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