Yamabe Problem for Kropina Metrics

被引：0

作者：

Behzad Najafi

Negin Youseflavi

Akbar Tayebi

机构：

[1] Amirkabir University of Technology (Tehran Polytechnic),Department of Mathematics and Computer Sciences

[2] University of Mazandaran,Department of Mathematics, Faculty of Mathematical Sciences

[3] University of Qom,Department of Mathematics, Faculty of Science

来源：

Bulletin of the Iranian Mathematical Society | 2021年 / 47卷

关键词：

Yamabe problem; Kropina metric; Douglas metric; 53B40; 53C60;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we obtain the formula of scalar curvature for Kropina metrics. Then we prove that a Kropina metric of isotropic scalar curvature must be of isotropic S-curvature. We also focus on Yamabe problem in Kropina metrics and give a negative answer to the Yamabe problem on Kropina metrics with isotropic S-curvature. It turns out that C-reducible metrics do not satisfy Yamabe problem.

引用

页码：323 / 333

页数：10

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