On Projectively Related Kropina Metric
S. K. Narasimha Murthy *
Department of P.G. Studies and Research in Mathematics, Kuvempu University, Shankaraghatta - 577451, Shimoga, Karnataka, India.
B. C. Chethana
Department of P.G. Studies and Research in Mathematics, Kuvempu University, Shankaraghatta - 577451, Shimoga, Karnataka, India.
G. N. Latha Kumari
Department of P.G. Studies and Research in Mathematics, Kuvempu University, Shankaraghatta - 577451, Shimoga, Karnataka, India.
*Author to whom correspondence should be addressed.
Abstract
In the present paper, we study curvature properties of projectively flat Kropina metric and prove that two Finsler metrics 
re projectively related if and only if they have thesame Douglas tensors. Further we showed that corresponding Riemannian metrics are projectively related.
Keywords: Finsler metric, Randers metric, Kropina metric, Douglas tensor, projectively flat, constant sectional curvature