@article{article_599501, title={ON THE CURVATURE OF INVARIANT KROPINA METRICS}, journal={International Electronic Journal of Geometry}, volume={4}, pages={136–140}, year={2011}, author={Moghaddam, Hamid Reza Salimi}, keywords={invariant metric,flag curvature,(α β)−metric,Kropina metric,homogeneous space,Lie group}, abstract={<div> <img src="data:image/png;base64,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}, number={2}, publisher={Kazım İlarslan}