University of Qom and Arak University
Abstract: In this paper, we prove that every R-quadratic Finsler metric with constant Douglas curvature along any geodesics has vanishing $\bar E$-curvature. It result that R-quadratic Randers metric satisfies $S=0$.
Keywords: E-curvature, Douglas curvature, R-quadratic metric
Classification (MSC2000): 53C60; 53C25
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