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
收藏
页码：323 / 333
页数：11
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