Volume 4, Issue 2 (12-2023)                   MACO 2023, 4(2): 45-50 | Back to browse issues page

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Tayebi A. Some Properties of 4-Dimensional Finsler Manifolds. MACO 2023; 4 (2) :45-50
URL: http://maco.lu.ac.ir/article-1-162-en.html
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.
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Type of Study: Research Article | Subject: Mathematical Analysis
Published: 2024/10/11

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