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On projectively related spherically symmetric metrics in Finsler geometry | ||
| Journal of Finsler Geometry and its Applications | ||
| دوره 1، شماره 2، اسفند 2020، صفحه 39-53 اصل مقاله (105.64 K) | ||
| نوع مقاله: Original Article | ||
| شناسه دیجیتال (DOI): 10.22098/jfga.2020.1238 | ||
| نویسندگان | ||
| Hassan Sadeghi* 1؛ Morad Bahadori2 | ||
| 1Faculty of Science, Department of Mathematics University of Qom, Qom, Iran E-mail: sadeghihassan64@gmail.com | ||
| 2Faculty of Science, Department of Mathematics University of Qom, Qom, Iran. Email: E-mail: moradbahadori3@gmail.com | ||
| چکیده | ||
| Inspired by the notion of projectively related spherically symmetric metrics, we study the class of Finsler metrics whose geodesics have the same shape with a difference in rotation or reflection of their graphs. This class of metrics contains the class of projectively related Finsler metrics. First, we characterize the class of Randers metrics, ( α, β )-metrics and spherically symmetric metrics in this class of metrics | ||
| کلیدواژه‌ها | ||
| Projectively related metrics؛ ( α؛ β )-metrics؛ spherically symmetric metric | ||
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آمار تعداد مشاهده مقاله: 247 تعداد دریافت فایل اصل مقاله: 231 |
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