The class of L-reducible Finsler metric was introduced by Matsumoto as a generalization of Randers metrics. One open problems in Finsler Geometry is to find a L-reducible metric which is not of Randers-type. Let (M,F) be a compact 3-dimensional L-reducible metric. Suppose that F has constant relatively isotropic mean Landsberg curvature. Then we show that F reduces to a Randers metric.
Ghasemi, A. (2021). On compact L-reducible Finsler manifolds. Journal of Finsler Geometry and its Applications, 2(1), 63-74. doi: 10.22098/jfga.2021.1264
MLA
Asmaa Ghasemi. "On compact L-reducible Finsler manifolds". Journal of Finsler Geometry and its Applications, 2, 1, 2021, 63-74. doi: 10.22098/jfga.2021.1264
HARVARD
Ghasemi, A. (2021). 'On compact L-reducible Finsler manifolds', Journal of Finsler Geometry and its Applications, 2(1), pp. 63-74. doi: 10.22098/jfga.2021.1264
VANCOUVER
Ghasemi, A. On compact L-reducible Finsler manifolds. Journal of Finsler Geometry and its Applications, 2021; 2(1): 63-74. doi: 10.22098/jfga.2021.1264
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