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：
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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.
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页码：323 / 333
页数：10
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