Title of article
Yamabe Problem for Kropina Metrics
Author/Authors
Najafi ، Behzad Department of Mathematics and Computer Sciences - Amirkabir University of Technology Amirkabir University of Technology Amirkabir University of Technology(Tehran Polytechnic) , Youseflavi ، Negin , Tayebi ، Akbar
From page
323
To page
333
Abstract
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.
Keywords
Yamabe problem , Kropina metric , Douglas metric ,
Journal title
Bulletin of the Iranian Mathematical Society
Journal title
Bulletin of the Iranian Mathematical Society
Record number
2744141
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