A global classification result for Randers metrics of scalar curvature on closed manifolds

One important problem in Finscler geometry is that of classifying Finsler metrics of scalar curvature. By investigating the second-order differential equation for a class of Randers metrics with isotropic S-curvature, we give a global classification of these metrics of scalar curvature, generalizing a theorem previously only known in the case of locally projectively flat Randers metrics. (C) 2007 Elsevier Ltd. All rights reserved.Mathematics, AppliedMathematicsSCI(E)EI8ARTICLE92996-30046