Yamabe Problem for Kropina Metrics

被引：0

作者：

Najafi, Behzad ^{[1
]}

Youseflavi, Negin ^{[2
]}

Tayebi, Akbar ^{[3
]}

机构：

[1] Amirkabir Univ Technol, Dept Math & Comp Sci, Tehran Polytech, Tehran, Iran

[2] Univ Mazandaran, Fac Math Sci, Dept Math, Babolsar, Iran

[3] Univ Qom, Dept Math, Fac Sci, Qom, Iran

来源：

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2021年 / 47卷 / SUPPL 1期

关键词：

Yamabe problem; Kropina metric; Douglas metric;

D O I：

10.1007/s41980-020-00494-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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：11

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