In order to extend the sphere theorem for Finsler metrics, the concept of reversibil- ity introduced by H-B. Rademacher for a compact Finsler manifold. In this paper, we extend this notion to the general Finsler manifolds. Then we find an upper bound for the reversibility of some important spherically symmetric Finsler metrics. Furthermore, we introduce the concept of sub-reversibility for a general Finsler manifold and obtain a non-zero lower bound for this new quantity.
Sadeghi, H. (2022). Reversibility and Sub-reversibility of Finsler Metrics. Journal of Finsler Geometry and its Applications, 3(2), 41-49. doi: 10.22098/jfga.2022.11468.1069
MLA
Hassan Sadeghi. "Reversibility and Sub-reversibility of Finsler Metrics". Journal of Finsler Geometry and its Applications, 3, 2, 2022, 41-49. doi: 10.22098/jfga.2022.11468.1069
HARVARD
Sadeghi, H. (2022). 'Reversibility and Sub-reversibility of Finsler Metrics', Journal of Finsler Geometry and its Applications, 3(2), pp. 41-49. doi: 10.22098/jfga.2022.11468.1069
VANCOUVER
Sadeghi, H. Reversibility and Sub-reversibility of Finsler Metrics. Journal of Finsler Geometry and its Applications, 2022; 3(2): 41-49. doi: 10.22098/jfga.2022.11468.1069
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