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Reversibility and Sub-reversibility of Finsler Metrics | ||
| Journal of Finsler Geometry and its Applications | ||
| دوره 3، شماره 2، اسفند 2022، صفحه 41-49 اصل مقاله (81.28 K) | ||
| نوع مقاله: Original Article | ||
| شناسه دیجیتال (DOI): 10.22098/jfga.2022.11468.1069 | ||
| نویسنده | ||
| Hassan Sadeghi* | ||
| Department of Mathematics, Faculty of Science, University of Qom Qom. Iran | ||
| چکیده | ||
| 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. | ||
| کلیدواژه‌ها | ||
| Reversibility of Finsler metric؛ spherically metric؛ Randers metric؛ square metric | ||
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آمار تعداد مشاهده مقاله: 76 تعداد دریافت فایل اصل مقاله: 123 |
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