Abstract: (291 Views)
In this paper, we study Cartan torsion, mean Cartan torsion and mean Landsberg
curvature of 4-dimensional Finsler metrics. First, we find the necessary and sufficient
condition under which a 4-dimensional Finsler manifold has bounded Cartan torsion and
mean Cartan torsion. Then, we show that a 4-dimensional Finsler manifold has relatively
isotropic mean Landsberg curvature if and only if it is Riemannian or the main scalars of
Finsler metric satisfy the certain conditions.
Type of Study:
Research Article |
Subject:
Mathematical Analysis Published: 2024/10/11
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