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Projectively flat Finsler spaces with some special transformed metrics | ||
| Journal of Finsler Geometry and its Applications | ||
| دوره 7، شماره 1، 2026، صفحه 66-81 اصل مقاله (324.55 K) | ||
| نوع مقاله: Original Article | ||
| شناسه دیجیتال (DOI): 10.22098/jfga.2025.17669.1164 | ||
| نویسندگان | ||
| P. K. Dwivedi؛ Sachin Kumar* ؛ Ashish Kumar Pandey؛ C. K. Mishra | ||
| Department of Mathematics and Statistics, Dr. Rammanohar Lohia Avadh University, Ayodhya(U.P.), India-224001 | ||
| چکیده | ||
| In this research paper, we have considered the various type of β-change in Finsler metric F such as square change Finsler metric, cubic change Finsler metric, quartic change Finsler metric and obtained fundamental metric tensor, Cartan's tensor of these metrics. Further, we obtained the necessary and sufficient conditions under which said metrics are projectively flat and also given a example to support our results. | ||
| کلیدواژه‌ها | ||
| Cartan's tensor؛ Fundamental metric tensor؛ β change in Finsler metric؛ projective flatness | ||
| مراجع | ||
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