Published 2021
| Version v1
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Yamabe Problem for Kropina Metrics
Authors/Creators
- 1. Department of Mathematics and Computer Sciences, Amirkabir University of Technology (Tehran Polytechnic)
- 2. Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar
- 3. Department of Mathematics, Faculty of Science, University of Qom
Description
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. 2021, Iranian Mathematical Society.
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